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22490496 = 273272789
BaseRepresentation
bin101010111001…
…0110110000000
31120022122011100
41111302312000
521224143441
62122014400
7362110650
oct125626600
946278140
1022490496
1111771496
127647400
134875bb2
142db6360
151e93cb6
hex1572d80

22490496 has 96 divisors (see below), whose sum is σ = 73990800. Its totient is φ = 6423552.

The previous prime is 22490467. The next prime is 22490521. The reversal of 22490496 is 69409422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22490496.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6670 + ... + 9458.

Almost surely, 222490496 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 22490496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36995400).

22490496 is an abundant number, since it is smaller than the sum of its proper divisors (51500304).

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

22490496 is a wasteful number, since it uses less digits than its factorization.

22490496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 22490496 is about 4742.4145748764. The cubic root of 22490496 is about 282.2710537044.

The spelling of 22490496 in words is "twenty-two million, four hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 2789 4032 5578 8064 8367 11156 16734 19523 22312 25101 33468 39046 44624 50202 58569 66936 78092 89248 100404 117138 133872 156184 175707 178496 200808 234276 267744 312368 351414 356992 401616 468552 535488 624736 702828 803232 937104 1070976 1249472 1405656 1606464 1874208 2498944 2811312 3212928 3748416 5622624 7496832 11245248 22490496