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214264332 = 22331983929
BaseRepresentation
bin11001100010101…
…10101000001100
3112221011202102000
430301112220030
5414322424312
633132232300
75211134232
oct1461265014
9487152360
10214264332
11aaa45a67
125b90b690
133550cb39
1420656952
1513c25adc
hexcc56a0c

214264332 has 24 divisors (see below), whose sum is σ = 555500400. Its totient is φ = 71421408.

The previous prime is 214264331. The next prime is 214264339. The reversal of 214264332 is 233462412.

214264332 is a `hidden beast` number, since 2 + 14 + 2 + 643 + 3 + 2 = 666.

214264332 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

214264332 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 214264296 and 214264305.

It is not an unprimeable number, because it can be changed into a prime (214264331) 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, 991857 + ... + 992072.

It is an arithmetic number, because the mean of its divisors is an integer number (23145850).

Almost surely, 2214264332 is an apocalyptic number.

It is an amenable number.

214264332 is an abundant number, since it is smaller than the sum of its proper divisors (341236068).

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

214264332 is a wasteful number, since it uses less digits than its factorization.

214264332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983942 (or 1983934 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 214264332 is about 14637.7707319113. The cubic root of 214264332 is about 598.3885760626.

The spelling of 214264332 in words is "two hundred fourteen million, two hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1983929 3967858 5951787 7935716 11903574 17855361 23807148 35710722 53566083 71421444 107132166 214264332