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214790904 = 23327142017
BaseRepresentation
bin11001100110101…
…11001011111000
3112222011111201200
430303113023320
5414441302104
633151414200
75215456356
oct1463271370
9488144650
10214790904
11100275649
125bb24360
1335665713
14207527d6
1513ccbb39
hexccd72f8

214790904 has 48 divisors (see below), whose sum is σ = 589932720. Its totient is φ = 70586880.

The previous prime is 214790899. The next prime is 214790941. The reversal of 214790904 is 409097412.

It is a super-2 number, since 2×2147909042 = 92270264882274432, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15897 + ... + 26120.

It is an arithmetic number, because the mean of its divisors is an integer number (12290265).

Almost surely, 2214790904 is an apocalyptic number.

214790904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214790904 is an abundant number, since it is smaller than the sum of its proper divisors (375141816).

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

214790904 is a wasteful number, since it uses less digits than its factorization.

214790904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42100 (or 42093 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 214790904 is about 14655.7464497718. The cubic root of 214790904 is about 598.8783712213.

The spelling of 214790904 in words is "two hundred fourteen million, seven hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 42017 84034 126051 168068 252102 336136 378153 504204 756306 1008408 1512612 2983207 3025224 5966414 8949621 11932828 17899242 23865656 26848863 35798484 53697726 71596968 107395452 214790904