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2122331232 = 25377874013
BaseRepresentation
bin111111010000000…
…0011010001100000
312110220112121010110
41332200003101200
513321304044412
6550332531320
7103410342420
oct17640032140
95426477113
102122331232
1199a00095a
124b2920b40
1327a9093c8
14161c20480
15c64c8d3c
hex7e803460

2122331232 has 96 divisors (see below), whose sum is σ = 6376672512. Its totient is φ = 605458944.

The previous prime is 2122331227. The next prime is 2122331249. The reversal of 2122331232 is 2321332212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 2122331199 and 2122331208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526858 + ... + 530870.

It is an arithmetic number, because the mean of its divisors is an integer number (66423672).

Almost surely, 22122331232 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 2122331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188336256).

2122331232 is an abundant number, since it is smaller than the sum of its proper divisors (4254341280).

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

2122331232 is a wasteful number, since it uses less digits than its factorization.

2122331232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4812 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2122331232 is about 46068.7663390284. The cubic root of 2122331232 is about 1285.1023617025.

Adding to 2122331232 its reverse (2321332212), we get a palindrome (4443663444).

The spelling of 2122331232 in words is "two billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 787 1574 2361 3148 4013 4722 5509 6296 8026 9444 11018 12039 12592 16052 16527 18888 22036 24078 25184 28091 32104 33054 37776 44072 48156 56182 64208 66108 75552 84273 88144 96312 112364 128416 132216 168546 176288 192624 224728 264432 337092 385248 449456 528864 674184 898912 1348368 2696736 3158231 6316462 9474693 12632924 18949386 22107617 25265848 37898772 44215234 50531696 66322851 75797544 88430468 101063392 132645702 151595088 176860936 265291404 303190176 353721872 530582808 707443744 1061165616 2122331232