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32233312122 = 23113123096823
BaseRepresentation
bin11110000001010000…
…010100111101111010
310002012101122220122220
4132001100110331322
51012003211441442
622450251424510
72220525426624
oct360120247572
9102171586586
1032233312122
1112740956530
1262b6a55136
133068c8b16b
1417bacb7c14
15c89c25eec
hex781414f7a

32233312122 has 64 divisors (see below), whose sum is σ = 72637931520. Its totient is φ = 9447105600.

The previous prime is 32233312117. The next prime is 32233312129. The reversal of 32233312122 is 22121333223.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32233312092 and 32233312101.

It is not an unprimeable number, because it can be changed into a prime (32233312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4720803 + ... + 4727625.

It is an arithmetic number, because the mean of its divisors is an integer number (1134967680).

Almost surely, 232233312122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32233312122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36318965760).

32233312122 is an abundant number, since it is smaller than the sum of its proper divisors (40404619398).

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

32233312122 is a wasteful number, since it uses less digits than its factorization.

32233312122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179.

The product of its digits is 2592, while the sum is 24.

Adding to 32233312122 its reverse (22121333223), we get a palindrome (54354645345).

The spelling of 32233312122 in words is "thirty-two billion, two hundred thirty-three million, three hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 2046 2309 4618 6823 6927 13646 13854 20469 25399 40938 50798 71579 75053 76197 143158 150106 152394 211513 214737 225159 423026 429474 450318 634539 787369 1269078 1574738 2326643 2362107 4653286 4724214 6979929 13959858 15754307 31508614 47262921 94525842 173297377 346594754 488383517 519892131 976767034 1039784262 1465150551 2930301102 5372218687 10744437374 16116656061 32233312122