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422154120 = 233513925309
BaseRepresentation
bin11001001010011…
…000111110001000
31002102100122120210
4121022120332020
51331032412440
6105520121120
713314152013
oct3112307610
91072318523
10422154120
111a7327703
12b94661a0
13695ca34b
14400d037a
15270dca80
hex19298f88

422154120 has 64 divisors (see below), whose sum is σ = 1275624000. Its totient is φ = 111760128.

The previous prime is 422154071. The next prime is 422154133. The reversal of 422154120 is 21451224.

It is a super-4 number, since 4×4221541204 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 29334.

It is an arithmetic number, because the mean of its divisors is an integer number (19931625).

Almost surely, 2422154120 is an apocalyptic number.

422154120 is a gapful number since it is divisible by the number (40) 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 422154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637812000).

422154120 is an abundant number, since it is smaller than the sum of its proper divisors (853469880).

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

422154120 is a wasteful number, since it uses less digits than its factorization.

422154120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25462 (or 25458 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 422154120 is about 20546.3894638450. The cubic root of 422154120 is about 750.1653679797.

The spelling of 422154120 in words is "four hundred twenty-two million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4170 5560 8340 16680 25309 50618 75927 101236 126545 151854 202472 253090 303708 379635 506180 607416 759270 1012360 1518540 3037080 3517951 7035902 10553853 14071804 17589755 21107706 28143608 35179510 42215412 52769265 70359020 84430824 105538530 140718040 211077060 422154120