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215080880 = 24572391607
BaseRepresentation
bin11001101000111…
…01111110110000
3112222201020111112
430310131332300
5420030042010
633201532452
75221104650
oct1464357660
9488636445
10215080880
111004534a3
1260044128
13357376c1
14207ca360
1513d37a05
hexcd1dfb0

215080880 has 80 divisors (see below), whose sum is σ = 574248960. Its totient is φ = 73387776.

The previous prime is 215080867. The next prime is 215080903. The reversal of 215080880 is 88080512.

It is a tau number, because it is divible by the number of its divisors (80).

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, 133037 + ... + 134643.

It is an arithmetic number, because the mean of its divisors is an integer number (7178112).

Almost surely, 2215080880 is an apocalyptic number.

215080880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287124480).

215080880 is an abundant number, since it is smaller than the sum of its proper divisors (359168080).

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

215080880 is a wasteful number, since it uses less digits than its factorization.

215080880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 215080880 is about 14665.6360243939. The cubic root of 215080880 is about 599.1477529945.

The spelling of 215080880 in words is "two hundred fifteen million, eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 239 280 478 560 956 1195 1607 1673 1912 2390 3214 3346 3824 4780 6428 6692 8035 8365 9560 11249 12856 13384 16070 16730 19120 22498 25712 26768 32140 33460 44996 56245 64280 66920 89992 112490 128560 133840 179984 224980 384073 449960 768146 899920 1536292 1920365 2688511 3072584 3840730 5377022 6145168 7681460 10754044 13442555 15362920 21508088 26885110 30725840 43016176 53770220 107540440 215080880