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2230032032 = 25377325801
BaseRepresentation
bin1000010011101011…
…1001011010100000
312202102012100211222
42010322321122200
514031342011112
61005141154212
7106155650054
oct20472713240
95672170758
102230032032
11a44882088
125229bb968
132970180a7
14172257c64
15d0ba0372
hex84eb96a0

2230032032 has 48 divisors (see below), whose sum is σ = 4570979112. Its totient is φ = 1069977600.

The previous prime is 2230032029. The next prime is 2230032059. The reversal of 2230032032 is 2302300322.

It can be written as a sum of positive squares in 4 ways, for example, as 2197359376 + 32672656 = 46876^2 + 5716^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2230032032.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73532 + ... + 99332.

Almost surely, 22230032032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285489556).

2230032032 is an abundant number, since it is smaller than the sum of its proper divisors (2340947080).

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

2230032032 is a wasteful number, since it uses less digits than its factorization.

2230032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25921 (or 25913 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 2230032032 is about 47223.2149689112. The cubic root of 2230032032 is about 1306.4828116069.

Adding to 2230032032 its reverse (2302300322), we get a palindrome (4532332354).

The spelling of 2230032032 in words is "two billion, two hundred thirty million, thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 584 592 1168 1184 2336 2701 5402 10804 21608 25801 43216 51602 86432 103204 206408 412816 825632 954637 1883473 1909274 3766946 3818548 7533892 7637096 15067784 15274192 30135568 30548384 60271136 69688501 139377002 278754004 557508008 1115016016 2230032032