Search a number
-
+
2256514632 = 233319549833
BaseRepresentation
bin1000011001111111…
…1010111001001000
312211021000211011000
42012133322321020
514110131432012
61011524535000
7106630025601
oct20637727110
95737024130
102256514632
11a5881a929
1252b851460
1329c65b078
1417598cda8
15d3181ddc
hex867fae48

2256514632 has 64 divisors (see below), whose sum is σ = 6598008000. Its totient is φ = 712582272.

The previous prime is 2256514619. The next prime is 2256514661. The reversal of 2256514632 is 2364156522.

2256514632 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 5 + 14 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 270813 + ... + 279020.

It is an arithmetic number, because the mean of its divisors is an integer number (103093875).

Almost surely, 22256514632 is an apocalyptic number.

It is an amenable number.

2256514632 is an abundant number, since it is smaller than the sum of its proper divisors (4341493368).

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

2256514632 is a wasteful number, since it uses less digits than its factorization.

2256514632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549867 (or 549857 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 2256514632 is about 47502.7855183251. The cubic root of 2256514632 is about 1311.6341574281.

The spelling of 2256514632 in words is "two billion, two hundred fifty-six million, five hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 549833 1099666 1649499 2199332 3298998 4398664 4948497 6597996 9896994 10446827 13195992 14845491 19793988 20893654 29690982 31340481 39587976 41787308 59381964 62680962 83574616 94021443 118763928 125361924 188042886 250723848 282064329 376085772 564128658 752171544 1128257316 2256514632