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22630160 = 2457223251
BaseRepresentation
bin101011001010…
…0111100010000
31120120201202002
41112110330100
521243131120
62125013132
7363232100
oct126247420
946521662
1022630160
1111857413
1276b41a8
1348c4637
143011200
151ec0375
hex1594f10

22630160 has 120 divisors (see below), whose sum is σ = 64120896. Its totient is φ = 7392000.

The previous prime is 22630147. The next prime is 22630187. The reversal of 22630160 is 6103622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90035 + ... + 90285.

Almost surely, 222630160 is an apocalyptic number.

22630160 is a gapful number since it is divisible by the number (20) 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 22630160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060448).

22630160 is an abundant number, since it is smaller than the sum of its proper divisors (41490736).

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

22630160 is a wasteful number, since it uses less digits than its factorization.

22630160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 22630160 is about 4757.1167738453. The cubic root of 22630160 is about 282.8541411879.

Adding to 22630160 its reverse (6103622), we get a palindrome (28733782).

The spelling of 22630160 in words is "twenty-two million, six hundred thirty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 251 280 322 368 392 460 490 502 560 644 784 805 920 980 1004 1127 1255 1288 1610 1757 1840 1960 2008 2254 2510 2576 3220 3514 3920 4016 4508 5020 5635 5773 6440 7028 8785 9016 10040 11270 11546 12299 12880 14056 17570 18032 20080 22540 23092 24598 28112 28865 35140 40411 45080 46184 49196 57730 61495 70280 80822 90160 92368 98392 115460 122990 140560 161644 196784 202055 230920 245980 282877 323288 404110 461840 491960 565754 646576 808220 983920 1131508 1414385 1616440 2263016 2828770 3232880 4526032 5657540 11315080 22630160