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22153456 = 2413731459
BaseRepresentation
bin101010010000…
…0100011110000
31112200111211101
41110200203300
521132402311
62110454144
7356205223
oct124404360
945614741
1022153456
1111561246
127504354
134788670
142d295ba
151e28ec1
hex15208f0

22153456 has 40 divisors (see below), whose sum is σ = 46889360. Its totient is φ = 10077696.

The previous prime is 22153451. The next prime is 22153457. The reversal of 22153456 is 65435122.

It is a super-2 number, since 2×221534562 = 981551225487872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22153451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14455 + ... + 15913.

It is an arithmetic number, because the mean of its divisors is an integer number (1172234).

Almost surely, 222153456 is an apocalyptic number.

22153456 is a gapful number since it is divisible by the number (26) 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 22153456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23444680).

22153456 is an abundant number, since it is smaller than the sum of its proper divisors (24735904).

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

22153456 is a wasteful number, since it uses less digits than its factorization.

22153456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1547 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 22153456 is about 4706.7457972574. The cubic root of 22153456 is about 280.8539237301.

Adding to 22153456 its reverse (65435122), we get a palindrome (87588578).

It can be divided in two parts, 2215 and 3456, that added together give a triangular number (5671 = T106).

The spelling of 22153456 in words is "twenty-two million, one hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1459 1898 2918 3796 5836 7592 11672 15184 18967 23344 37934 75868 106507 151736 213014 303472 426028 852056 1384591 1704112 2769182 5538364 11076728 22153456