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216207680 = 2651351973
BaseRepresentation
bin11001110001100…
…01000101000000
3120001211111011212
430320301011000
5420322121210
633242025252
75233510043
oct1470610500
9501744155
10216207680
11101053037
12604a8228
1335a40550
1420a00c5a
1513eab805
hexce31140

216207680 has 56 divisors (see below), whose sum is σ = 554458632. Its totient is φ = 79828992.

The previous prime is 216207679. The next prime is 216207701. The reversal of 216207680 is 86702612.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 216207616 = 8^2 + 14704^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 21827 + ... + 30146.

It is an arithmetic number, because the mean of its divisors is an integer number (9901047).

Almost surely, 2216207680 is an apocalyptic number.

216207680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216207680 is an abundant number, since it is smaller than the sum of its proper divisors (338250952).

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

216207680 is a wasteful number, since it uses less digits than its factorization.

216207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52003 (or 51993 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 216207680 is about 14704.0021762784. The cubic root of 216207680 is about 600.1922346994.

The spelling of 216207680 in words is "two hundred sixteen million, two hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 51973 103946 207892 259865 415784 519730 675649 831568 1039460 1351298 1663136 2078920 2702596 3326272 3378245 4157840 5405192 6756490 8315680 10810384 13512980 16631360 21620768 27025960 43241536 54051920 108103840 216207680