Search a number
-
+
22954496 = 29107419
BaseRepresentation
bin101011110010…
…0001000000000
31121012012122112
41113210020000
521334020441
62135554452
7366052505
oct127441000
947165575
1022954496
1111a59064
12782ba28
1349a9156
1430974ac
1520364eb
hex15e4200

22954496 has 40 divisors (see below), whose sum is σ = 46403280. Its totient is φ = 11342848.

The previous prime is 22954453. The next prime is 22954507. The reversal of 22954496 is 69445922.

It is a happy number.

It is a super-2 number, since 2×229544962 = 1053817773228032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54575 + ... + 54993.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 222954496 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 22954496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201640).

22954496 is an abundant number, since it is smaller than the sum of its proper divisors (23448784).

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

22954496 is an equidigital number, since it uses as much as digits as its factorization.

22954496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 528 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 22954496 is about 4791.0850545571. The cubic root of 22954496 is about 284.1990273210.

The spelling of 22954496 in words is "twenty-two million, nine hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 419 428 512 838 856 1676 1712 3352 3424 6704 6848 13408 13696 26816 27392 44833 53632 54784 89666 107264 179332 214528 358664 717328 1434656 2869312 5738624 11477248 22954496