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214291352 = 23118927361
BaseRepresentation
bin11001100010111…
…01001110011000
3112221020010110202
430301131032120
5414324310402
633133001332
75211306062
oct1461351630
9487203422
10214291352
11aaa642a0
125b923248
133551c222
1420662732
1513c2db02
hexcc5d398

214291352 has 32 divisors (see below), whose sum is σ = 443264400. Its totient is φ = 96307200.

The previous prime is 214291351. The next prime is 214291387. The reversal of 214291352 is 253192412.

214291352 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2142913524 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214291351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5849 + ... + 21512.

Almost surely, 2214291352 is an apocalyptic number.

214291352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214291352 is an abundant number, since it is smaller than the sum of its proper divisors (228973048).

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

214291352 is a wasteful number, since it uses less digits than its factorization.

214291352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27467 (or 27463 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 214291352 is about 14638.6936575638. The cubic root of 214291352 is about 598.4137284519.

The spelling of 214291352 in words is "two hundred fourteen million, two hundred ninety-one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1958 3916 7832 27361 54722 109444 218888 300971 601942 1203884 2407768 2435129 4870258 9740516 19481032 26786419 53572838 107145676 214291352