Search a number
-
+
2234256816 = 2431119222713
BaseRepresentation
bin1000010100101100…
…0000110110110000
312202201011000011110
42011023000312300
514033432204231
61005411513320
7106236604161
oct20513006660
95681130143
102234256816
11a471a8240
125242b8840
13297b6706c
14172a37768
15d1237046
hex852c0db0

2234256816 has 80 divisors (see below), whose sum is σ = 6627968640. Its totient is φ = 641410560.

The previous prime is 2234256809. The next prime is 2234256833. The reversal of 2234256816 is 6186524322.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101325 + ... + 121388.

It is an arithmetic number, because the mean of its divisors is an integer number (82849608).

Almost surely, 22234256816 is an apocalyptic number.

It is an amenable number.

2234256816 is an abundant number, since it is smaller than the sum of its proper divisors (4393711824).

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

2234256816 is a wasteful number, since it uses less digits than its factorization.

2234256816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222754 (or 222748 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 2234256816 is about 47267.9258694519. The cubic root of 2234256816 is about 1307.3073327560.

The spelling of 2234256816 in words is "two billion, two hundred thirty-four million, two hundred fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 627 836 912 1254 1672 2508 3344 5016 10032 222713 445426 668139 890852 1336278 1781704 2449843 2672556 3563408 4231547 4899686 5345112 7349529 8463094 9799372 10690224 12694641 14699058 16926188 19598744 25389282 29398116 33852376 39197488 46547017 50778564 58796232 67704752 93094034 101557128 117592464 139641051 186188068 203114256 279282102 372376136 558564204 744752272 1117128408 2234256816