Search a number
-
+
422900160 = 26351725913
BaseRepresentation
bin11001001101001…
…111000111000000
31002110202112221220
4121031033013000
51331230301120
6105544115040
713323410034
oct3115170700
91073675856
10422900160
111a7797171
12b9765a80
13697cbaa7
14402461c4
15271d8b40
hex1934f1c0

422900160 has 112 divisors (see below), whose sum is σ = 1421745696. Its totient is φ = 106135552.

The previous prime is 422900147. The next prime is 422900173. The reversal of 422900160 is 61009224.

It is an interprime number because it is at equal distance from previous prime (422900147) and next prime (422900173).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422900160.

It is a congruent number.

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, 3364 + ... + 29276.

It is an arithmetic number, because the mean of its divisors is an integer number (12694158).

Almost surely, 2422900160 is an apocalyptic number.

422900160 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 422900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710872848).

422900160 is an abundant number, since it is smaller than the sum of its proper divisors (998845536).

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

422900160 is a wasteful number, since it uses less digits than its factorization.

422900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25950 (or 25940 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 422900160 is about 20564.5364645061. The cubic root of 422900160 is about 750.6070108069.

Adding to 422900160 its reverse (61009224), we get a palindrome (483909384).

The spelling of 422900160 in words is "four hundred twenty-two million, nine hundred thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 25913 51826 77739 103652 129565 155478 207304 259130 310956 388695 414608 440521 518260 621912 777390 829216 881042 1036520 1243824 1321563 1554780 1658432 1762084 2073040 2202605 2487648 2643126 3109560 3524168 4146080 4405210 4975296 5286252 6219120 6607815 7048336 8292160 8810420 10572504 12438240 13215630 14096672 17620840 21145008 24876480 26431260 28193344 35241680 42290016 52862520 70483360 84580032 105725040 140966720 211450080 422900160