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214655872 = 2717234289
BaseRepresentation
bin11001100101101…
…10001110000000
3112221220122111111
430302312032000
5414422441442
633144453104
75214354604
oct1462661600
9487818444
10214655872
11100193152
125ba7a194
1335619112
1420719504
1513ca1b17
hexccb6380

214655872 has 64 divisors (see below), whose sum is σ = 472586400. Its totient is φ = 96600064.

The previous prime is 214655867. The next prime is 214655897. The reversal of 214655872 is 278556412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47904 + ... + 52192.

Almost surely, 2214655872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236293200).

214655872 is an abundant number, since it is smaller than the sum of its proper divisors (257930528).

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

214655872 is a wasteful number, since it uses less digits than its factorization.

214655872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4343 (or 4331 counting only the distinct ones).

The product of its digits is 134400, while the sum is 40.

The square root of 214655872 is about 14651.1389318373. The cubic root of 214655872 is about 598.7528465135.

The spelling of 214655872 in words is "two hundred fourteen million, six hundred fifty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 4289 6256 8578 12512 17156 25024 34312 50048 68624 72913 98647 137248 145826 197294 274496 291652 394588 548992 583304 789176 1166608 1578352 1676999 2333216 3156704 3353998 4666432 6313408 6707996 9332864 12626816 13415992 26831984 53663968 107327936 214655872