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223137195876 = 2234722321632
BaseRepresentation
bin1100111111010000000…
…0110110011101100100
3210022221211000000110000
43033310000312131210
512123441110232001
6250301404301300
722056355604400
oct3176400663544
9708854000400
10223137195876
11866a5147991
12372b4241830
131807094621a
14ab2acc4100
155c0e834a86
hex33f4036764

223137195876 has 405 divisors, whose sum is σ = 713725306371. Its totient is φ = 60607473696.

The previous prime is 223137195857. The next prime is 223137195887. The reversal of 223137195876 is 678591731322.

The square root of 223137195876 is 472374.

It is a perfect power (a square), and thus also a powerful number.

223137195876 is a `hidden beast` number, since 2 + 23 + 1 + 37 + 1 + 9 + 587 + 6 = 666.

223137195876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231371958763 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1368939771 + ... + 1368939933.

Almost surely, 2223137195876 is an apocalyptic number.

223137195876 is the 472374-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223137195876

223137195876 is an abundant number, since it is smaller than the sum of its proper divisors (490588110495).

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

223137195876 is a wasteful number, since it uses less digits than its factorization.

223137195876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 198 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 223137195876 in words is "two hundred twenty-three billion, one hundred thirty-seven million, one hundred ninety-five thousand, eight hundred seventy-six".