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212552969400 = 233352311269731
BaseRepresentation
bin1100010111110100100…
…1001110110010111000
3202022122011220121021000
43011331021032302320
511440302030010100
6241351231445000
721233155300302
oct3057511166270
9668564817230
10212552969400
1182163678982
123523b686760
1317074bc3915
14a405322972
1557e0522900
hex317d24ecb8

212552969400 has 192 divisors, whose sum is σ = 755744486400. Its totient is φ = 54852336000.

The previous prime is 212552969389. The next prime is 212552969401. The reversal of 212552969400 is 4969255212.

212552969400 is a `hidden beast` number, since 2 + 1 + 2 + 552 + 9 + 6 + 94 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212552969401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467466 + ... + 802265.

It is an arithmetic number, because the mean of its divisors is an integer number (3936169200).

Almost surely, 2212552969400 is an apocalyptic number.

212552969400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212552969400 is an abundant number, since it is smaller than the sum of its proper divisors (543191517000).

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

212552969400 is a wasteful number, since it uses less digits than its factorization.

212552969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269787 (or 1269772 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 212552969400 in words is "two hundred twelve billion, five hundred fifty-two million, nine hundred sixty-nine thousand, four hundred".