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2232112032 = 25332583463
BaseRepresentation
bin1000010100001011…
…0101001110100000
312202120010001002000
42011002311032200
514032410041112
61005253524000
7106212432153
oct20502651640
95676101060
102232112032
11a45a72897
12523643600
13297595a67
14172639c9a
15d0e617dc
hex850b53a0

2232112032 has 48 divisors (see below), whose sum is σ = 6510329280. Its totient is φ = 744037056.

The previous prime is 2232112031. The next prime is 2232112097. The reversal of 2232112032 is 2302112322.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×22321120323 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2232111996 and 2232112014.

It is not an unprimeable number, because it can be changed into a prime (2232112031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1290868 + ... + 1292595.

It is an arithmetic number, because the mean of its divisors is an integer number (135631860).

Almost surely, 22232112032 is an apocalyptic number.

It is an amenable number.

2232112032 is an abundant number, since it is smaller than the sum of its proper divisors (4278217248).

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

2232112032 is a wasteful number, since it uses less digits than its factorization.

2232112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583482 (or 2583468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2232112032 is about 47245.2329023786. The cubic root of 2232112032 is about 1306.8888804826. Note that the first 5 decimals are identical.

Adding to 2232112032 its reverse (2302112322), we get a palindrome (4534224354).

The spelling of 2232112032 in words is "two billion, two hundred thirty-two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2583463 5166926 7750389 10333852 15500778 20667704 23251167 31001556 41335408 46502334 62003112 69753501 82670816 93004668 124006224 139507002 186009336 248012448 279014004 372018672 558028008 744037344 1116056016 2232112032