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214900992 = 283331091
BaseRepresentation
bin11001100111100…
…10000100000000
3112222101002202000
430303302010000
5420003312432
633154024000
75216425335
oct1463620400
9488332660
10214900992
11100340329
125bb78000
13356a3867
142078098c
1513cee57c
hexccf2100

214900992 has 72 divisors (see below), whose sum is σ = 635520480. Its totient is φ = 71631360.

The previous prime is 214900981. The next prime is 214900999. The reversal of 214900992 is 299009412.

It is a tau number, because it is divible by the number of its divisors (72).

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 (214900999) 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, 8634 + ... + 22457.

Almost surely, 2214900992 is an apocalyptic number.

It is an amenable number.

214900992 is an abundant number, since it is smaller than the sum of its proper divisors (420619488).

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

214900992 is an equidigital number, since it uses as much as digits as its factorization.

214900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116 (or 31096 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 214900992 is about 14659.5017650669. The cubic root of 214900992 is about 598.9806692554.

The spelling of 214900992 in words is "two hundred fourteen million, nine hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 31091 62182 93273 124364 186546 248728 279819 373092 497456 559638 746184 839457 994912 1119276 1492368 1678914 1989824 2238552 2984736 3357828 3979648 4477104 5969472 6715656 7959296 8954208 11938944 13431312 17908416 23877888 26862624 35816832 53725248 71633664 107450496 214900992