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22348768 = 2513311733
BaseRepresentation
bin101010101000…
…0001111100000
31120001102202011
41111100033200
521210130033
62115002304
7360650521
oct125201740
946042664
1022348768
1111684a62
127599394
134826530
142d7a848
151e66ccd
hex15503e0

22348768 has 48 divisors (see below), whose sum is σ = 48940416. Its totient is φ = 9976320.

The previous prime is 22348757. The next prime is 22348849. The reversal of 22348768 is 86784322.

22348768 = T97 + T98 + ... + T512.

It is a super-2 number, since 2×223487682 = 998934862235648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22348768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12030 + ... + 13762.

It is an arithmetic number, because the mean of its divisors is an integer number (1019592).

Almost surely, 222348768 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 22348768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470208).

22348768 is an abundant number, since it is smaller than the sum of its proper divisors (26591648).

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

22348768 is a wasteful number, since it uses less digits than its factorization.

22348768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1779 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 22348768 is about 4727.4483603737. The cubic root of 22348768 is about 281.6768761788.

The spelling of 22348768 in words is "twenty-two million, three hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 1733 3224 3466 6448 6932 12896 13864 22529 27728 45058 53723 55456 90116 107446 180232 214892 360464 429784 698399 720928 859568 1396798 1719136 2793596 5587192 11174384 22348768