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23332211320 = 23511676591201
BaseRepresentation
bin10101101110101101…
…010100101001111000
32020020001200010211211
4111232231110221320
5340241021230240
614415122132504
71454123344465
oct255655245170
966201603754
1023332211320
119993474780
124631ab1134
13227ab57602
1411b4a8866c
15918582bea
hex56eb54a78

23332211320 has 128 divisors (see below), whose sum is σ = 58261420800. Its totient is φ = 8338176000.

The previous prime is 23332211303. The next prime is 23332211347. The reversal of 23332211320 is 2311223332.

It is a super-2 number, since 2×233322113202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23332211291 and 23332211300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19426720 + ... + 19427920.

It is an arithmetic number, because the mean of its divisors is an integer number (455167350).

Almost surely, 223332211320 is an apocalyptic number.

23332211320 is a gapful number since it is divisible by the number (20) 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 23332211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29130710400).

23332211320 is an abundant number, since it is smaller than the sum of its proper divisors (34929209480).

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

23332211320 is a wasteful number, since it uses less digits than its factorization.

23332211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23332211320 its reverse (2311223332), we get a palindrome (25643434652).

The spelling of 23332211320 in words is "twenty-three billion, three hundred thirty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 659 670 737 1201 1318 1340 1474 2402 2636 2680 2948 3295 3685 4804 5272 5896 6005 6590 7249 7370 9608 12010 13180 13211 14498 14740 24020 26360 26422 28996 29480 36245 44153 48040 52844 57992 66055 72490 80467 88306 105688 132110 144980 160934 176612 220765 264220 289960 321868 353224 402335 441530 485683 528440 643736 791459 804670 883060 885137 971366 1582918 1609340 1766120 1770274 1942732 2428415 3165836 3218680 3540548 3885464 3957295 4425685 4856830 6331672 7081096 7914590 8706049 8851370 9713660 15829180 17412098 17702740 19427320 31658360 34824196 35405480 43530245 53027753 69648392 87060490 106055506 174120980 212111012 265138765 348241960 424222024 530277530 583305283 1060555060 1166610566 2121110120 2333221132 2916526415 4666442264 5833052830 11666105660 23332211320