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215332640 = 2555367379
BaseRepresentation
bin11001101010110…
…11011100100000
3120000012000211222
430311123130200
5420111121030
633211154212
75223203645
oct1465333440
9500160758
10215332640
11100605666
1260145968
13357c5183
1420853dcc
1513d873e5
hexcd5b720

215332640 has 96 divisors (see below), whose sum is σ = 527446080. Its totient is φ = 83026944.

The previous prime is 215332633. The next prime is 215332657. The reversal of 215332640 is 46233512.

215332640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 567971 + ... + 568349.

It is an arithmetic number, because the mean of its divisors is an integer number (5494230).

Almost surely, 2215332640 is an apocalyptic number.

215332640 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 215332640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263723040).

215332640 is an abundant number, since it is smaller than the sum of its proper divisors (312113440).

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

215332640 is a wasteful number, since it uses less digits than its factorization.

215332640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 215332640 is about 14674.2168445202. The cubic root of 215332640 is about 599.3814365921.

The spelling of 215332640 in words is "two hundred fifteen million, three hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 67 80 106 134 160 212 265 268 335 379 424 530 536 670 758 848 1060 1072 1340 1516 1696 1895 2120 2144 2680 3032 3551 3790 4240 5360 6064 7102 7580 8480 10720 12128 14204 15160 17755 20087 25393 28408 30320 35510 40174 50786 56816 60640 71020 80348 100435 101572 113632 126965 142040 160696 200870 203144 253930 284080 321392 401740 406288 507860 568160 642784 803480 812576 1015720 1345829 1606960 2031440 2691658 3213920 4062880 5383316 6729145 10766632 13458290 21533264 26916580 43066528 53833160 107666320 215332640