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166072284 = 22327661997
BaseRepresentation
bin10011110011000…
…00111111011100
3102120111100100100
421321200333130
5320003303114
624251301100
74054406520
oct1171407734
9376440310
10166072284
118581a624
124774a790
1328538631
14180add80
15e8a6909
hex9e60fdc

166072284 has 72 divisors (see below), whose sum is σ = 480972128. Its totient is φ = 47329920.

The previous prime is 166072273. The next prime is 166072307. The reversal of 166072284 is 482270661.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166074 + ... + 167070.

Almost surely, 2166072284 is an apocalyptic number.

166072284 is a gapful number since it is divisible by the number (14) 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 166072284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240486064).

166072284 is an abundant number, since it is smaller than the sum of its proper divisors (314899844).

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

166072284 is a wasteful number, since it uses less digits than its factorization.

166072284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1670 counting only the distinct ones).

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

The square root of 166072284 is about 12886.9035846475. The cubic root of 166072284 is about 549.6662261366. Note that the first 3 decimals are identical.

The spelling of 166072284 in words is "one hundred sixty-six million, seventy-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 661 997 1322 1983 1994 2644 2991 3966 3988 4627 5949 5982 6979 7932 8973 9254 11898 11964 13881 13958 17946 18508 20937 23796 27762 27916 35892 41643 41874 55524 62811 83286 83748 125622 166572 251244 659017 1318034 1977051 2636068 3954102 4613119 5931153 7908204 9226238 11862306 13839357 18452476 23724612 27678714 41518071 55357428 83036142 166072284