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880200216 = 233371493907
BaseRepresentation
bin110100011101101…
…100101000011000
32021100020210201000
4310131230220120
53300312401331
6223201425000
730545402250
oct6435545030
92240223630
10880200216
114119394a5
1220693b160
1311048343c
1484c84960
155241a0e6
hex3476ca18

880200216 has 128 divisors (see below), whose sum is σ = 2813760000. Its totient is φ = 249734016.

The previous prime is 880200169. The next prime is 880200221. The reversal of 880200216 is 612002088.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 880200216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223335 + ... + 227241.

It is an arithmetic number, because the mean of its divisors is an integer number (21982500).

Almost surely, 2880200216 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 880200216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406880000).

880200216 is an abundant number, since it is smaller than the sum of its proper divisors (1933559784).

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

880200216 is a wasteful number, since it uses less digits than its factorization.

880200216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 880200216 is about 29668.1683964481. The cubic root of 880200216 is about 958.3566415772.

The spelling of 880200216 in words is "eight hundred eighty million, two hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 149 168 189 216 252 298 378 447 504 596 756 894 1043 1192 1341 1512 1788 2086 2682 3129 3576 3907 4023 4172 5364 6258 7814 8046 8344 9387 10728 11721 12516 15628 16092 18774 23442 25032 27349 28161 31256 32184 35163 37548 46884 54698 56322 70326 75096 82047 93768 105489 109396 112644 140652 164094 210978 218792 225288 246141 281304 328188 421956 492282 582143 656376 738423 843912 984564 1164286 1476846 1746429 1969128 2328572 2953692 3492858 4075001 4657144 5239287 5907384 6985716 8150002 10478574 12225003 13971432 15717861 16300004 20957148 24450006 31435722 32600008 36675009 41914296 48900012 62871444 73350018 97800024 110025027 125742888 146700036 220050054 293400072 440100108 880200216