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22225104 = 2434111559
BaseRepresentation
bin101010011001…
…0000011010000
31112211011010000
41110302003100
521142200404
62112210000
7356624136
oct124620320
945734100
1022225104
1111600060
127539900
1347b2165
142d47756
151e40339
hex15320d0

22225104 has 100 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 6730560.

The previous prime is 22225087. The next prime is 22225111. The reversal of 22225104 is 40152222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13477 + ... + 15035.

Almost surely, 222225104 is an apocalyptic number.

22225104 is a gapful number since it is divisible by the number (24) 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 22225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

22225104 is an abundant number, since it is smaller than the sum of its proper divisors (47993616).

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

22225104 is a wasteful number, since it uses less digits than its factorization.

22225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22225104 is about 4714.3508566928. The cubic root of 22225104 is about 281.1563741695.

Adding to 22225104 its reverse (40152222), we get a palindrome (62377326).

The spelling of 22225104 in words is "twenty-two million, two hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 264 297 324 396 432 528 594 648 792 891 1188 1296 1559 1584 1782 2376 3118 3564 4677 4752 6236 7128 9354 12472 14031 14256 17149 18708 24944 28062 34298 37416 42093 51447 56124 68596 74832 84186 102894 112248 126279 137192 154341 168372 205788 224496 252558 274384 308682 336744 411576 463023 505116 617364 673488 823152 926046 1010232 1234728 1389069 1852092 2020464 2469456 2778138 3704184 5556276 7408368 11112552 22225104