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146662164 = 22351122943
BaseRepresentation
bin10001011110111…
…10001100010100
3101012222012200000
420233132030110
5300021142124
622315251300
73430415325
oct1057361424
9335865600
10146662164
1175872500
1241149b30
132450085c
141569a44c
15cd206c9
hex8bde314

146662164 has 216 divisors, whose sum is σ = 447326880. Its totient is φ = 41912640.

The previous prime is 146662163. The next prime is 146662177. The reversal of 146662164 is 461266641.

146662164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146662163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3410727 + ... + 3410769.

Almost surely, 2146662164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146662164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223663440).

146662164 is an abundant number, since it is smaller than the sum of its proper divisors (300664716).

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

146662164 is a wasteful number, since it uses less digits than its factorization.

146662164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 146662164 is about 12110.4155172314. The cubic root of 146662164 is about 527.3585961509.

The spelling of 146662164 in words is "one hundred forty-six million, six hundred sixty-two thousand, one hundred sixty-four".