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214936956 = 223313153089
BaseRepresentation
bin11001100111110…
…10110101111100
3112222102221002000
430303322311330
5420010440311
633154502300
75216635233
oct1463726574
9488387060
10214936956
11100365353
125bb94990
13356b7040
142078db1a
1513d0a056
hexccfad7c

214936956 has 48 divisors (see below), whose sum is σ = 600112800. Its totient is φ = 66134016.

The previous prime is 214936937. The next prime is 214936973. The reversal of 214936956 is 659639412.

It is a congruent number.

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, 75141 + ... + 77948.

It is an arithmetic number, because the mean of its divisors is an integer number (12502350).

Almost surely, 2214936956 is an apocalyptic number.

214936956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214936956 is an abundant number, since it is smaller than the sum of its proper divisors (385175844).

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

214936956 is a wasteful number, since it uses less digits than its factorization.

214936956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153115 (or 153107 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 214936956 is about 14660.7283584411. The cubic root of 214936956 is about 599.0140808263.

The spelling of 214936956 in words is "two hundred fourteen million, nine hundred thirty-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 153089 306178 459267 612356 918534 1377801 1837068 1990157 2755602 3980314 4133403 5511204 5970471 7960628 8266806 11940942 16533612 17911413 23881884 35822826 53734239 71645652 107468478 214936956