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22996680 = 2335723911
BaseRepresentation
bin101011110111…
…0011011001000
31121021100111220
41113232123020
521341343210
62140522040
7366316500
oct127563310
947240456
1022996680
1111a87823
127850320
1349c2405
1430a8a00
152043c70
hex15ee6c8

22996680 has 96 divisors (see below), whose sum is σ = 80274240. Its totient is φ = 5255040.

The previous prime is 22996651. The next prime is 22996703. The reversal of 22996680 is 8669922.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3925 + ... + 7835.

It is an arithmetic number, because the mean of its divisors is an integer number (836190).

Almost surely, 222996680 is an apocalyptic number.

22996680 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 22996680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40137120).

22996680 is an abundant number, since it is smaller than the sum of its proper divisors (57277560).

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

22996680 is a wasteful number, since it uses less digits than its factorization.

22996680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 22996680 is about 4795.4853768936. The cubic root of 22996680 is about 284.3730137928.

The spelling of 22996680 in words is "twenty-two million, nine hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 3911 5880 7822 11733 15644 19555 23466 27377 31288 39110 46932 54754 58665 78220 82131 93864 109508 117330 136885 156440 164262 191639 219016 234660 273770 328524 383278 410655 469320 547540 574917 657048 766556 821310 958195 1095080 1149834 1533112 1642620 1916390 2299668 2874585 3285240 3832780 4599336 5749170 7665560 11498340 22996680