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214404918 = 237131723099
BaseRepresentation
bin11001100011110…
…00111100110110
3112221102220020220
430301320330312
5414341424133
633135235210
75212261140
oct1461707466
9487386226
10214404918
11100031652
125b978b06
133555bb20
1420691c90
1513c525b3
hexcc78f36

214404918 has 64 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 53217792.

The previous prime is 214404913. The next prime is 214404937. The reversal of 214404918 is 819404412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214404913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268 + ... + 20831.

It is an arithmetic number, because the mean of its divisors is an integer number (8731800).

Almost surely, 2214404918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214404918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

214404918 is an abundant number, since it is smaller than the sum of its proper divisors (344430282).

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

214404918 is a wasteful number, since it uses less digits than its factorization.

214404918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23141.

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 214404918 is about 14642.5721101178. The cubic root of 214404918 is about 598.5194217073.

The spelling of 214404918 in words is "two hundred fourteen million, four hundred four thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 182 221 238 273 357 442 546 663 714 1326 1547 3094 4641 9282 23099 46198 69297 138594 161693 300287 323386 392683 485079 600574 785366 900861 970158 1178049 1801722 2102009 2356098 2748781 4204018 5104879 5497562 6306027 8246343 10209758 12612054 15314637 16492686 30629274 35734153 71468306 107202459 214404918