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154332164 = 2273197571
BaseRepresentation
bin10010011001011…
…10110000000100
3101202101212221002
421030232300010
5304002112124
623151512432
73552542000
oct1114566004
9352355832
10154332164
117a131048
1243828718
1325c87a0c
14166d5700
15d8380ae
hex932ec04

154332164 has 48 divisors (see below), whose sum is σ = 317116800. Its totient is φ = 65691360.

The previous prime is 154332133. The next prime is 154332169. The reversal of 154332164 is 461233451.

It is not an unprimeable number, because it can be changed into a prime (154332169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269999 + ... + 270569.

It is an arithmetic number, because the mean of its divisors is an integer number (6606600).

Almost surely, 2154332164 is an apocalyptic number.

154332164 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 154332164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158558400).

154332164 is an abundant number, since it is smaller than the sum of its proper divisors (162784636).

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

154332164 is a wasteful number, since it uses less digits than its factorization.

154332164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its digits is 8640, while the sum is 29.

The square root of 154332164 is about 12423.0497060907. The cubic root of 154332164 is about 536.3959399067.

The spelling of 154332164 in words is "one hundred fifty-four million, three hundred thirty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 197 343 394 571 686 788 1142 1372 1379 2284 2758 3997 5516 7994 9653 15988 19306 27979 38612 55958 67571 111916 112487 135142 195853 224974 270284 391706 449948 783412 787409 1574818 3149636 5511863 11023726 22047452 38583041 77166082 154332164