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212973880 = 2357760621
BaseRepresentation
bin11001011000110…
…11100100111000
3112211202012020111
430230123210320
5414010131010
633044434104
75164151050
oct1454334470
9484665214
10212973880
11aa244479
125b3a8934
133517a662
14203dc560
1513a6d58a
hexcb1b938

212973880 has 32 divisors (see below), whose sum is σ = 547647840. Its totient is φ = 73019520.

The previous prime is 212973853. The next prime is 212973913. The reversal of 212973880 is 88379212.

212973880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 380031 + ... + 380590.

It is an arithmetic number, because the mean of its divisors is an integer number (17113995).

Almost surely, 2212973880 is an apocalyptic number.

212973880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212973880 is an abundant number, since it is smaller than the sum of its proper divisors (334673960).

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

212973880 is a wasteful number, since it uses less digits than its factorization.

212973880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760639 (or 760635 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 212973880 is about 14593.6246354358. The cubic root of 212973880 is about 597.1848492384.

The spelling of 212973880 in words is "two hundred twelve million, nine hundred seventy-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 760621 1521242 3042484 3803105 5324347 6084968 7606210 10648694 15212420 21297388 26621735 30424840 42594776 53243470 106486940 212973880