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164622040 = 235112316267
BaseRepresentation
bin10011100111111…
…10111011011000
3102110202122222121
421303332323120
5314120401130
624200231024
74036156432
oct1163767330
9373678877
10164622040
1184a19a80
124716b474
132814b4bb
1417c13652
15e6bbd7a
hex9cfeed8

164622040 has 64 divisors (see below), whose sum is σ = 421666560. Its totient is φ = 57256320.

The previous prime is 164622019. The next prime is 164622043. The reversal of 164622040 is 40226461.

It is a junction number, because it is equal to n+sod(n) for n = 164621996 and 164622014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164622043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 18253.

It is an arithmetic number, because the mean of its divisors is an integer number (6588540).

Almost surely, 2164622040 is an apocalyptic number.

164622040 is a gapful number since it is divisible by the number (10) 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 164622040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210833280).

164622040 is an abundant number, since it is smaller than the sum of its proper divisors (257044520).

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

164622040 is a wasteful number, since it uses less digits than its factorization.

164622040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16312 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 164622040 is about 12830.5120708411. The cubic root of 164622040 is about 548.0615396107.

The spelling of 164622040 in words is "one hundred sixty-four million, six hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 16267 32534 65068 81335 130136 162670 178937 325340 357874 374141 650680 715748 748282 894685 1431496 1496564 1789370 1870705 2993128 3578740 3741410 4115551 7157480 7482820 8231102 14965640 16462204 20577755 32924408 41155510 82311020 164622040