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212662270080 = 27325132840041
BaseRepresentation
bin1100011000001110101…
…0001011100010000000
3202022220210120122121100
43012003222023202000
511441013020120310
6241410134254400
721235653320211
oct3060352134200
9668823518540
10212662270080
118220a342117
12352701b7400
1317091742890
14a415a55408
1557e9e12ec0
hex3183a8b880

212662270080 has 192 divisors, whose sum is σ = 790838095320. Its totient is φ = 52347617280.

The previous prime is 212662270069. The next prime is 212662270087. The reversal of 212662270080 is 80072266212.

212662270080 is a `hidden beast` number, since 2 + 1 + 26 + 622 + 7 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84904635456 + 127757634624 = 291384^2 + 357432^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2126622700802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212662270087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345141 + ... + 1494900.

Almost surely, 2212662270080 is an apocalyptic number.

212662270080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212662270080 is an abundant number, since it is smaller than the sum of its proper divisors (578175825240).

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

212662270080 is a wasteful number, since it uses less digits than its factorization.

212662270080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840079 (or 2840064 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 212662270080 in words is "two hundred twelve billion, six hundred sixty-two million, two hundred seventy thousand, eighty".