Search a number
-
+
216436512 = 2532977743
BaseRepresentation
bin11001110011010…
…00111100100000
3120002021010002010
430321220330200
5420401432022
633250552520
75235452145
oct1471507440
9502233063
10216436512
11101199a56
1260598740
1335ac0756
1420a603cc
151400450c
hexce68f20

216436512 has 48 divisors (see below), whose sum is σ = 587744640. Its totient is φ = 69656832.

The previous prime is 216436487. The next prime is 216436523. The reversal of 216436512 is 215634612.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2164365122 = 93689527453452288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216436512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36088 + ... + 41655.

It is an arithmetic number, because the mean of its divisors is an integer number (12244680).

Almost surely, 2216436512 is an apocalyptic number.

It is an amenable number.

216436512 is an abundant number, since it is smaller than the sum of its proper divisors (371308128).

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

216436512 is a wasteful number, since it uses less digits than its factorization.

216436512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77785 (or 77777 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 216436512 is about 14711.7814013124. The cubic root of 216436512 is about 600.4039058169.

The spelling of 216436512 in words is "two hundred sixteen million, four hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 77743 155486 233229 310972 466458 621944 932916 1243888 1865832 2254547 2487776 3731664 4509094 6763641 7463328 9018188 13527282 18036376 27054564 36072752 54109128 72145504 108218256 216436512