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2232141252 = 2231129719811
BaseRepresentation
bin1000010100001011…
…1100010111000100
312202120011112011020
42011002330113010
514032412010002
61005254311140
7106212613305
oct20502742704
95676145136
102232141252
11a45a92840
125236584b0
132975a6153
141726467ac
15d0e6a2bc
hex850bc5c4

2232141252 has 96 divisors (see below), whose sum is σ = 5893171200. Its totient is φ = 651369600.

The previous prime is 2232141251. The next prime is 2232141313. The reversal of 2232141252 is 2521412322.

It is a super-3 number, since 3×22321412523 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232141251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2751927 + ... + 2752737.

It is an arithmetic number, because the mean of its divisors is an integer number (61387200).

Almost surely, 22232141252 is an apocalyptic number.

2232141252 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 2232141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946585600).

2232141252 is an abundant number, since it is smaller than the sum of its proper divisors (3661029948).

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

2232141252 is a wasteful number, since it uses less digits than its factorization.

2232141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1575 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2232141252 is about 47245.5421389151. The cubic root of 2232141252 is about 1306.8945831723.

Adding to 2232141252 its reverse (2521412322), we get a palindrome (4753553574).

The spelling of 2232141252 in words is "two billion, two hundred thirty-two million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 719 811 957 1276 1438 1622 1914 2157 2433 2876 3244 3828 4314 4866 7909 8628 8921 9732 15818 17842 20851 23519 23727 26763 31636 35684 41702 47038 47454 53526 62553 70557 83404 94076 94908 107052 125106 141114 229361 250212 258709 282228 458722 517418 583109 688083 776127 917444 1034836 1166218 1376166 1552254 1749327 2332436 2752332 3104508 3498654 6414199 6997308 12828398 16910161 19242597 25656796 33820322 38485194 50730483 67640644 76970388 101460966 186011771 202921932 372023542 558035313 744047084 1116070626 2232141252