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2151475456 = 281322232
BaseRepresentation
bin1000000000111100…
…1110100100000000
312112221101021111011
42000033032210000
513401234203311
6553253330304
7104213145124
oct20017164400
95487337434
102151475456
11a044a7399
12500636994
13283971a00
14165a49584
15c8d34321
hex803ce900

2151475456 has 81 divisors (see below), whose sum is σ = 4671254889. Its totient is φ = 988535808.

The previous prime is 2151475439. The next prime is 2151475471. The reversal of 2151475456 is 6545741512.

The square root of 2151475456 is 46384.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 318265600 + 1833209856 = 17840^2 + 42816^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9647761 + ... + 9647983.

Almost surely, 22151475456 is an apocalyptic number.

2151475456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2151475456 is the 46384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151475456

2151475456 is an abundant number, since it is smaller than the sum of its proper divisors (2519779433).

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

2151475456 is an frugal number, since it uses more digits than its factorization.

2151475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 238 counting only the distinct ones).

The product of its digits is 168000, while the sum is 40.

The cubic root of 2151475456 is about 1290.9580559980.

The spelling of 2151475456 in words is "two billion, one hundred fifty-one million, four hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 223 256 338 416 446 676 832 892 1352 1664 1784 2704 2899 3328 3568 5408 5798 7136 10816 11596 14272 21632 23192 28544 37687 43264 46384 49729 57088 75374 92768 99458 150748 185536 198916 301496 371072 397832 602992 646477 742144 795664 1205984 1292954 1591328 2411968 2585908 3182656 4823936 5171816 6365312 8404201 9647872 10343632 12730624 16808402 20687264 33616804 41374528 67233608 82749056 134467216 165498112 268934432 537868864 1075737728 2151475456