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214332904332 = 223314913319221
BaseRepresentation
bin1100011110011100111…
…1001001001110001100
3202111020020011122222000
43013213033021032030
512002423210414312
6242244013552300
721325240425051
oct3074717111614
9674206148860
10214332904332
1182997378388
12356577a5690
13172998a9a61
14a533895028
155896915adc
hex31e73c938c

214332904332 has 48 divisors (see below), whose sum is σ = 559407324000. Its totient is φ = 70964804160.

The previous prime is 214332904327. The next prime is 214332904337. The reversal of 214332904332 is 233409233412.

214332904332 is a `hidden beast` number, since 2 + 1 + 4 + 33 + 290 + 4 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (214332904327) and next prime (214332904337).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214332904337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6643519 + ... + 6675702.

It is an arithmetic number, because the mean of its divisors is an integer number (11654319250).

Almost surely, 2214332904332 is an apocalyptic number.

It is an amenable number.

214332904332 is an abundant number, since it is smaller than the sum of its proper divisors (345074419668).

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

214332904332 is a wasteful number, since it uses less digits than its factorization.

214332904332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319383 (or 13319375 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 214332904332 in words is "two hundred fourteen billion, three hundred thirty-two million, nine hundred four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 13319221 26638442 39957663 53276884 79915326 119872989 159830652 239745978 359618967 479491956 719237934 1438475868 1984563929 3969127858 5953691787 7938255716 11907383574 17861075361 23814767148 35722150722 53583226083 71444301444 107166452166 214332904332