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166045572 = 223371141487
BaseRepresentation
bin10011110010110…
…10011110000100
3102120102222201000
421321122132010
5320001424242
624250533300
74054235610
oct1171323604
9376388630
10166045572
1185801550
1247737230
1328529424
14180a4340
15e89da4c
hex9e5a784

166045572 has 192 divisors, whose sum is σ = 550932480. Its totient is φ = 41990400.

The previous prime is 166045571. The next prime is 166045639. The reversal of 166045572 is 275540661.

It is a happy number.

166045572 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-2 number, since 2×1660455722 = 55142263961614368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166045571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340713 + ... + 341199.

It is an arithmetic number, because the mean of its divisors is an integer number (2869440).

Almost surely, 2166045572 is an apocalyptic number.

166045572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166045572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275466240).

166045572 is an abundant number, since it is smaller than the sum of its proper divisors (384886908).

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

166045572 is a wasteful number, since it uses less digits than its factorization.

166045572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 166045572 is about 12885.8671419505. The cubic root of 166045572 is about 549.6367540875.

The spelling of 166045572 in words is "one hundred sixty-six million, forty-five thousand, five hundred seventy-two".