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2231896824 = 2332262111827
BaseRepresentation
bin1000010100001000…
…0000101011111000
312202112201002212100
42011002000223320
514032331144244
61005245143400
7106210544553
oct20502005370
95675632770
102231896824
11a45936133
1252355ab60
1329751bb11
141725c169a
15d0e1cb69
hex85080af8

2231896824 has 48 divisors (see below), whose sum is σ = 6047538120. Its totient is φ = 743618880.

The previous prime is 2231896813. The next prime is 2231896829. The reversal of 2231896824 is 4286981322.

It is a super-3 number, since 3×22318968243 (a number of 29 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2231896824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231896829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182799 + ... + 194625.

Almost surely, 22231896824 is an apocalyptic number.

2231896824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2231896824 is an abundant number, since it is smaller than the sum of its proper divisors (3815641296).

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

2231896824 is a wasteful number, since it uses less digits than its factorization.

2231896824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460 (or 14453 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2231896824 is about 47242.9552843596. The cubic root of 2231896824 is about 1306.8468781133.

The spelling of 2231896824 in words is "two billion, two hundred thirty-one million, eight hundred ninety-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2621 5242 7863 10484 11827 15726 20968 23589 23654 31452 35481 47178 47308 62904 70962 94356 94616 106443 141924 188712 212886 283848 425772 851544 30998567 61997134 92995701 123994268 185991402 247988536 278987103 371982804 557974206 743965608 1115948412 2231896824