Search a number
-
+
23353444312 = 23112192355207
BaseRepresentation
bin10101101111111110…
…010100011111011000
32020021112121220000221
4111233332110133120
5340311440204222
614421201205424
71454502000322
oct255776243730
966245556027
1023353444312
1199a4457400
124639030874
132282380003
1411b7814612
1591a3790c7
hex56ff947d8

23353444312 has 96 divisors (see below), whose sum is σ = 52867180800. Its totient is φ = 9619093440.

The previous prime is 23353444199. The next prime is 23353444313. The reversal of 23353444312 is 21344435332.

It is a super-2 number, since 2×233534443122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23353444313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395413 + ... + 450619.

It is an arithmetic number, because the mean of its divisors is an integer number (550699800).

Almost surely, 223353444312 is an apocalyptic number.

23353444312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23353444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433590400).

23353444312 is an abundant number, since it is smaller than the sum of its proper divisors (29513736488).

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

23353444312 is a wasteful number, since it uses less digits than its factorization.

23353444312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55277 (or 55262 counting only the distinct ones).

The product of its digits is 103680, while the sum is 34.

Adding to 23353444312 its reverse (21344435332), we get a palindrome (44697879644).

The spelling of 23353444312 in words is "twenty-three billion, three hundred fifty-three million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 121 152 184 209 242 253 418 437 484 506 836 874 968 1012 1672 1748 2024 2299 2783 3496 4598 4807 5566 9196 9614 11132 18392 19228 22264 38456 52877 55207 105754 110414 211508 220828 423016 441656 607277 1048933 1214554 1269761 2097866 2429108 2539522 4195732 4858216 5079044 6680047 8391464 10158088 11538263 13360094 13967371 23076526 24125459 26720188 27934742 46153052 48250918 53440376 55869484 92306104 96501836 111738968 126920893 153641081 193003672 253841786 265380049 307282162 507683572 530760098 614564324 1015367144 1061520196 1229128648 2123040392 2919180539 5838361078 11676722156 23353444312