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22300145600 = 2652124911159
BaseRepresentation
bin10100110001001100…
…010011011111000000
32010120010122202211112
4110301030103133000
5331132314124400
614124453302452
71416422052515
oct246114233700
963503582745
1022300145600
11950393a4a7
1243a4334a28
1321450a1135
14111799130c
158a7b6a835
hex5313137c0

22300145600 has 84 divisors (see below), whose sum is σ = 54921150000. Its totient is φ = 8912117760.

The previous prime is 22300145597. The next prime is 22300145633. The reversal of 22300145600 is 654100322.

It is a congruent number.

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, 1992821 + ... + 2003979.

Almost surely, 222300145600 is an apocalyptic number.

22300145600 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 22300145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27460575000).

22300145600 is an abundant number, since it is smaller than the sum of its proper divisors (32621004400).

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

22300145600 is a wasteful number, since it uses less digits than its factorization.

22300145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12430 (or 12415 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 22300145600 its reverse (654100322), we get a palindrome (22954245922).

The spelling of 22300145600 in words is "twenty-two billion, three hundred million, one hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1249 1600 2498 4996 6245 9992 11159 12490 19984 22318 24980 31225 39968 44636 49960 55795 62450 79936 89272 99920 111590 124900 178544 199840 223180 249800 278975 357088 399680 446360 499600 557950 714176 892720 999200 1115900 1785440 1998400 2231800 3570880 4463600 8927200 13937591 17854400 27875182 55750364 69687955 111500728 139375910 223001456 278751820 348439775 446002912 557503640 696879550 892005824 1115007280 1393759100 2230014560 2787518200 4460029120 5575036400 11150072800 22300145600