Search a number
-
+
23041332342224 = 2472937414676339
BaseRepresentation
bin1010011110100101110100…
…11011011110110111010000
310000120201201001211022112122
411033102322123132313100
511010002122034422344
6121001013021113412
74565452460262320
oct517227233366720
9100521631738478
1023041332342224
11738385746a229
1227016936b8868
13cb1a32c16271
145992c6661280
1529e55803eaee
hex14f4ba6dedd0

23041332342224 has 160 divisors (see below), whose sum is σ = 55527983481600. Its totient is φ = 9050397511680.

The previous prime is 23041332342221. The next prime is 23041332342233. The reversal of 23041332342224 is 42224323314032.

It is a super-2 number, since 2×230413323422242 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23041332342221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2589047 + ... + 7265385.

It is an arithmetic number, because the mean of its divisors is an integer number (347049896760).

Almost surely, 223041332342224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23041332342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27763991740800).

23041332342224 is an abundant number, since it is smaller than the sum of its proper divisors (32486651139376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23041332342224 is a wasteful number, since it uses less digits than its factorization.

23041332342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676461 (or 4676455 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 23041332342224 its reverse (42224323314032), we get a palindrome (65265655656256).

The spelling of 23041332342224 in words is "twenty-three trillion, forty-one billion, three hundred thirty-two million, three hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 37 41 56 58 74 82 112 116 148 164 203 232 259 287 296 328 406 464 518 574 592 656 812 1036 1073 1148 1189 1517 1624 2072 2146 2296 2378 3034 3248 4144 4292 4592 4756 6068 7511 8323 8584 9512 10619 12136 15022 16646 17168 19024 21238 24272 30044 33292 42476 43993 60088 66584 84952 87986 120176 133168 169904 175972 307951 351944 615902 703888 1231804 2463608 4676339 4927216 9352678 18705356 32734373 37410712 65468746 74821424 130937492 135613831 173024543 191729899 261874984 271227662 346049086 383459798 523749968 542455324 692098172 766919596 949296817 1084910648 1211171801 1342109293 1384196344 1533839192 1898593634 2169821296 2422343602 2684218586 2768392688 3067678384 3797187268 4844687204 5017711747 5368437172 5560167071 7094006263 7594374536 9689374408 10035423494 10736874344 11120334142 14188012526 15188749072 19378748816 20070846988 21473748688 22240668284 28376025052 35123982229 38921169497 40141693976 44481336568 49658043841 56752050104 70247964458 77842338994 80283387952 88962673136 99316087682 113504100208 140495928916 155684677988 198632175364 205726181627 280991857832 311369355976 397264350728 411452363254 561983715664 622738711952 794528701456 822904726508 1440083271389 1645809453016 2880166542778 3291618906032 5760333085556 11520666171112 23041332342224