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214551152264 = 23234195634943
BaseRepresentation
bin1100011111010000111…
…1101100011010001000
3202111210102211210211202
43013310033230122020
512003400043333024
6242321411443332
721333530463311
oct3076417543210
9674712753752
10214551152264
1182a99594279
12356b88b6548
1317302b82b47
14a554867608
1558aab76bae
hex31f43ec688

214551152264 has 64 divisors (see below), whose sum is σ = 421608499200. Its totient is φ = 102164028736.

The previous prime is 214551152227. The next prime is 214551152273. The reversal of 214551152264 is 462251155412.

214551152264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2145511522642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43402577 + ... + 43407519.

It is an arithmetic number, because the mean of its divisors is an integer number (6587632800).

Almost surely, 2214551152264 is an apocalyptic number.

It is an amenable number.

214551152264 is a deficient number, since it is larger than the sum of its proper divisors (207057346936).

214551152264 is a wasteful number, since it uses less digits than its factorization.

214551152264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5954 (or 5950 counting only the distinct ones).

The product of its digits is 96000, while the sum is 38.

The spelling of 214551152264 in words is "two hundred fourteen billion, five hundred fifty-one million, one hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 23 46 92 184 419 563 838 1126 1676 2252 3352 4504 4943 9637 9886 12949 19274 19772 25898 38548 39544 51796 77096 103592 113689 227378 235897 454756 471794 909512 943588 1887176 2071117 2782909 4142234 5425631 5565818 8284468 10851262 11131636 16568936 21702524 22263272 43405048 47635691 64006907 95271382 128013814 190542764 256027628 381085528 512055256 1166038871 2332077742 4664155484 9328310968 26818894033 53637788066 107275576132 214551152264