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2252311232 = 26174434673
BaseRepresentation
bin1000011000111111…
…1000101011000000
312210222010021011112
42012033320223000
514103042424412
61011254502452
7106546221023
oct20617705300
95728107145
102252311232
11a56409846
1252a364a28
1329b818a52
141751b71ba
15d2b01722
hex863f8ac0

2252311232 has 56 divisors (see below), whose sum is σ = 4744035216. Its totient is φ = 1057292288.

The previous prime is 2252311219. The next prime is 2252311277. The reversal of 2252311232 is 2321132522.

It is a junction number, because it is equal to n+sod(n) for n = 2252311198 and 2252311207.

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, 479648 + ... + 484320.

Almost surely, 22252311232 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 2252311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372017608).

2252311232 is an abundant number, since it is smaller than the sum of its proper divisors (2491723984).

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

2252311232 is a wasteful number, since it uses less digits than its factorization.

2252311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5135 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 2252311232 is about 47458.5211737576. The cubic root of 2252311232 is about 1310.8192207017.

Adding to 2252311232 its reverse (2321132522), we get a palindrome (4573443754).

The spelling of 2252311232 in words is "two billion, two hundred fifty-two million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 443 544 886 1088 1772 3544 4673 7088 7531 9346 14176 15062 18692 28352 30124 37384 60248 74768 79441 120496 149536 158882 240992 299072 317764 481984 635528 1271056 2070139 2542112 4140278 5084224 8280556 16561112 33122224 35192363 66244448 70384726 132488896 140769452 281538904 563077808 1126155616 2252311232