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2231405352 = 23321123122497
BaseRepresentation
bin1000010100000000…
…1000101100101000
312202111210010200200
42011000020230220
514032214432402
61005230432200
7106203426651
oct20500105450
95674703620
102231405352
11a4562a960
12523362660
132973a91c7
141724d4528
15d0d7221c
hex85008b28

2231405352 has 96 divisors (see below), whose sum is σ = 6879487680. Its totient is φ = 646778880.

The previous prime is 2231405333. The next prime is 2231405357. The reversal of 2231405352 is 2535041322.

It is a happy number.

2231405352 is a `hidden beast` number, since 223 + 1 + 405 + 35 + 2 = 666.

It is a super-3 number, since 3×22314053523 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2231405357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43033 + ... + 79464.

It is an arithmetic number, because the mean of its divisors is an integer number (71661330).

Almost surely, 22231405352 is an apocalyptic number.

2231405352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2231405352 is an abundant number, since it is smaller than the sum of its proper divisors (4648082328).

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

2231405352 is a wasteful number, since it uses less digits than its factorization.

2231405352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122543 (or 122536 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2231405352 is about 47237.7534605531. The cubic root of 2231405352 is about 1306.7509468869.

Adding to 2231405352 its reverse (2535041322), we get a palindrome (4766446674).

The spelling of 2231405352 in words is "two billion, two hundred thirty-one million, four hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 33 36 44 46 66 69 72 88 92 99 132 138 184 198 207 253 264 276 396 414 506 552 759 792 828 1012 1518 1656 2024 2277 3036 4554 6072 9108 18216 122497 244994 367491 489988 734982 979976 1102473 1347467 1469964 2204946 2694934 2817431 2939928 4042401 4409892 5389868 5634862 8084802 8452293 8819784 10779736 11269724 12127203 16169604 16904586 22539448 24254406 25356879 30991741 32339208 33809172 48508812 50713758 61983482 67618344 92975223 97017624 101427516 123966964 185950446 202855032 247933928 278925669 371900892 557851338 743801784 1115702676 2231405352