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214866148920 = 23351994239539
BaseRepresentation
bin1100100000011100000…
…1010011111000111000
3202112121101120022000120
43020013001103320320
512010021213231140
6242412543133240
721344404063023
oct3100701237070
9675541508016
10214866148920
1183140380995
12357862a4220
13173532018b7
14a5846221ba
1558c86491d0
hex3207053e38

214866148920 has 64 divisors (see below), whose sum is σ = 678524688000. Its totient is φ = 54281973888.

The previous prime is 214866148891. The next prime is 214866148933. The reversal of 214866148920 is 29841668412.

214866148920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47117490 + ... + 47122049.

It is an arithmetic number, because the mean of its divisors is an integer number (10601948250).

Almost surely, 2214866148920 is an apocalyptic number.

214866148920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214866148920 is an abundant number, since it is smaller than the sum of its proper divisors (463658539080).

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

214866148920 is a wasteful number, since it uses less digits than its factorization.

214866148920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94239572 (or 94239568 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 214866148920 in words is "two hundred fourteen billion, eight hundred sixty-six million, one hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 94239539 188479078 282718617 376958156 471197695 565437234 753916312 942395390 1130874468 1413593085 1790551241 1884790780 2261748936 2827186170 3581102482 3769581560 5371653723 5654372340 7162204964 8952756205 10743307446 11308744680 14324409928 17905512410 21486614892 26858268615 35811024820 42973229784 53716537230 71622049640 107433074460 214866148920