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212854080 = 2635221723
BaseRepresentation
bin11001010111111…
…10010101000000
3112211112002220110
430223332111000
5413442312310
633042111320
75163141555
oct1453762500
9484462813
10212854080
11aa17246a
125b34b540
1335137c7a
14203aaa2c
1513a47d20
hexcafe540

212854080 has 56 divisors (see below), whose sum is σ = 675814752. Its totient is φ = 56760832.

The previous prime is 212854073. The next prime is 212854111. The reversal of 212854080 is 80458212.

212854080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 109902 + ... + 111821.

Almost surely, 2212854080 is an apocalyptic number.

212854080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212854080 is an abundant number, since it is smaller than the sum of its proper divisors (462960672).

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

212854080 is a wasteful number, since it uses less digits than its factorization.

212854080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221743 (or 221733 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 212854080 is about 14589.5195260159. The cubic root of 212854080 is about 597.0728540277.

The spelling of 212854080 in words is "two hundred twelve million, eight hundred fifty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 221723 443446 665169 886892 1108615 1330338 1773784 2217230 2660676 3325845 3547568 4434460 5321352 6651690 7095136 8868920 10642704 13303380 14190272 17737840 21285408 26606760 35475680 42570816 53213520 70951360 106427040 212854080