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22993984 = 261329953
BaseRepresentation
bin101011110110…
…1110001000000
31121021012211001
41113231301000
521341301414
62140501344
7366305566
oct127556100
947235731
1022993984
1111a857a2
12784a854
1349c1110
1430a7a36
152043074
hex15edc40

22993984 has 56 divisors (see below), whose sum is σ = 50886360. Its totient is φ = 10235904.

The previous prime is 22993981. The next prime is 22993987. The reversal of 22993984 is 48939922.

It is an interprime number because it is at equal distance from previous prime (22993981) and next prime (22993987).

It can be written as a sum of positive squares in 4 ways, for example, as 640000 + 22353984 = 800^2 + 4728^2 .

It is not an unprimeable number, because it can be changed into a prime (22993981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23652 + ... + 24604.

It is an arithmetic number, because the mean of its divisors is an integer number (908685).

Almost surely, 222993984 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 22993984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25443180).

22993984 is an abundant number, since it is smaller than the sum of its proper divisors (27892376).

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

22993984 is a wasteful number, since it uses less digits than its factorization.

22993984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 997 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 22993984 is about 4795.2042709357. The cubic root of 22993984 is about 284.3619006002.

The spelling of 22993984 in words is "twenty-two million, nine hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 754 832 928 953 1508 1856 1906 3016 3812 6032 7624 12064 12389 15248 24128 24778 27637 30496 49556 55274 60992 99112 110548 198224 221096 359281 396448 442192 718562 792896 884384 1437124 1768768 2874248 5748496 11496992 22993984