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22434944 = 277473
BaseRepresentation
bin101010110010…
…1010010000000
31120012210221212
41111211102000
521220404234
62120505252
7361460000
oct125452200
946183855
1022434944
1111733784
12761b228
13485681c
142da0000
151e825ce
hex1565480

22434944 has 80 divisors (see below), whose sum is σ = 52854870. Its totient is φ = 9483264.

The previous prime is 22434889. The next prime is 22434977. The reversal of 22434944 is 44943422.

It can be written as a sum of positive squares in only one way, i.e., 18593344 + 3841600 = 4312^2 + 1960^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 22434944.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 307292 + ... + 307364.

Almost surely, 222434944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26427435).

22434944 is an abundant number, since it is smaller than the sum of its proper divisors (30419926).

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

22434944 is an frugal number, since it uses more digits than its factorization.

22434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 22434944 is about 4736.5540216491. The cubic root of 22434944 is about 282.0384569386.

The spelling of 22434944 in words is "twenty-two million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 73 98 112 128 146 196 224 292 343 392 448 511 584 686 784 896 1022 1168 1372 1568 2044 2336 2401 2744 3136 3577 4088 4672 4802 5488 6272 7154 8176 9344 9604 10976 14308 16352 19208 21952 25039 28616 32704 38416 43904 50078 57232 65408 76832 100156 114464 153664 175273 200312 228928 307328 350546 400624 457856 701092 801248 1402184 1602496 2804368 3204992 5608736 11217472 22434944