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22234240 = 27572709
BaseRepresentation
bin101010011010…
…0010010000000
31112211121122101
41110310102000
521142443430
62112320144
7356662600
oct124642200
945747571
1022234240
1111606a06
127543054
1347b6372
142d4ac00
151e42dca
hex1534480

22234240 has 96 divisors (see below), whose sum is σ = 61919100. Its totient is φ = 7612416.

The previous prime is 22234229. The next prime is 22234291. The reversal of 22234240 is 4243222.

It can be written as a sum of positive squares in 2 ways, for example, as 20575296 + 1658944 = 4536^2 + 1288^2 .

It is a super-2 number, since 2×222342402 = 988722856755200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31006 + ... + 31714.

Almost surely, 222234240 is an apocalyptic number.

22234240 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 22234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30959550).

22234240 is an abundant number, since it is smaller than the sum of its proper divisors (39684860).

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

22234240 is an equidigital number, since it uses as much as digits as its factorization.

22234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 22234240 is about 4715.3197134447. The cubic root of 22234240 is about 281.1948935656.

Adding to 22234240 its reverse (4243222), we get a palindrome (26477462).

The spelling of 22234240 in words is "twenty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 709 784 896 980 1120 1418 1568 1960 2240 2836 3136 3545 3920 4480 4963 5672 6272 7090 7840 9926 11344 14180 15680 19852 22688 24815 28360 31360 34741 39704 45376 49630 56720 69482 79408 90752 99260 113440 138964 158816 173705 198520 226880 277928 317632 347410 397040 453760 555856 635264 694820 794080 1111712 1389640 1588160 2223424 2779280 3176320 4446848 5558560 11117120 22234240