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22493104 = 2431101449
BaseRepresentation
bin101010111001…
…1011110110000
31120022202201221
41111303132300
521224234404
62122034424
7362121364
oct125633660
946282657
1022493104
1111773447
127648a14
13487713a
142db72a4
151e94954
hex15737b0

22493104 has 40 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 10752000.

The previous prime is 22493099. The next prime is 22493129. The reversal of 22493104 is 40139422.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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, 49872 + ... + 50320.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 222493104 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 22493104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

22493104 is an abundant number, since it is smaller than the sum of its proper divisors (23039696).

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

22493104 is a wasteful number, since it uses less digits than its factorization.

22493104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 22493104 is about 4742.6895323224. The cubic root of 22493104 is about 282.2819640086.

It can be divided in two parts, 2249 and 3104, that multiplied together give a palindrome (6980896).

The spelling of 22493104 in words is "twenty-two million, four hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 8 16 31 62 101 124 202 248 404 449 496 808 898 1616 1796 3131 3592 6262 7184 12524 13919 25048 27838 45349 50096 55676 90698 111352 181396 222704 362792 725584 1405819 2811638 5623276 11246552 22493104