Search a number
-
+
215214312 = 23323439067
BaseRepresentation
bin11001101001111…
…10100011101000
3112222222000112110
430310332203220
5420043324222
633204442320
75222201655
oct1464764350
9488860473
10215214312
11100534775
12600a93a0
1335783361
1420822c2c
1513d6230c
hexcd3e8e8

215214312 has 64 divisors (see below), whose sum is σ = 574548480. Its totient is φ = 67015872.

The previous prime is 215214299. The next prime is 215214331. The reversal of 215214312 is 213412512.

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, 19203 + ... + 28269.

It is an arithmetic number, because the mean of its divisors is an integer number (8977320).

Almost surely, 2215214312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215214312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287274240).

215214312 is an abundant number, since it is smaller than the sum of its proper divisors (359334168).

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

215214312 is a wasteful number, since it uses less digits than its factorization.

215214312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142 (or 9138 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 215214312 is about 14670.1844569181. The cubic root of 215214312 is about 599.2716272575.

Adding to 215214312 its reverse (213412512), we get a palindrome (428626824).

The spelling of 215214312 in words is "two hundred fifteen million, two hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 9067 11868 18134 23736 27201 36268 54402 72536 108804 208541 217608 389881 417082 625623 779762 834164 1169643 1251246 1559524 1668328 2339286 2502492 3119048 4678572 5004984 8967263 9357144 17934526 26901789 35869052 53803578 71738104 107607156 215214312