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2231000552 = 2311232574289
BaseRepresentation
bin1000010011111010…
…0101110111101000
312202111000120102002
42010332211313220
514032114004202
61005214030132
7106200122534
oct20476456750
95674016362
102231000552
11a45383810
125231a8348
13297296b91
1417242abc4
15d0ce2302
hex84fa5de8

2231000552 has 64 divisors (see below), whose sum is σ = 4781462400. Its totient is φ = 966000640.

The previous prime is 2231000549. The next prime is 2231000567. The reversal of 2231000552 is 2550001322.

It is a super-3 number, since 3×22310005523 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 518024 + ... + 522312.

It is an arithmetic number, because the mean of its divisors is an integer number (74710350).

Almost surely, 22231000552 is an apocalyptic number.

2231000552 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 2231000552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390731200).

2231000552 is an abundant number, since it is smaller than the sum of its proper divisors (2550461848).

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

2231000552 is a wasteful number, since it uses less digits than its factorization.

2231000552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2231000552 is about 47233.4685577928. The cubic root of 2231000552 is about 1306.6719227310.

Adding to 2231000552 its reverse (2550001322), we get a palindrome (4781001874).

The spelling of 2231000552 in words is "two billion, two hundred thirty-one million, five hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 257 506 514 1012 1028 2024 2056 2827 4289 5654 5911 8578 11308 11822 17156 22616 23644 34312 47179 47288 65021 94358 98647 130042 188716 197294 260084 377432 394588 520168 789176 1085117 1102273 2170234 2204546 4340468 4409092 8680936 8818184 12125003 24250006 25352279 48500012 50704558 97000024 101409116 202818232 278875069 557750138 1115500276 2231000552