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22306364444 = 22713401152821
BaseRepresentation
bin10100110001100100…
…000001110000011100
32010120120100201111002
4110301210001300130
5331140412130234
614125234445432
71416525653330
oct246144016034
963516321432
1022306364444
1195073a7841
1243a6433878
13214646a920
14111872d7c0
158a849827e
hex531901c1c

22306364444 has 48 divisors (see below), whose sum is σ = 48164604096. Its totient is φ = 8802432000.

The previous prime is 22306364417. The next prime is 22306364467. The reversal of 22306364444 is 44446360322.

It is a junction number, because it is equal to n+sod(n) for n = 22306364398 and 22306364407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69554 + ... + 222374.

It is an arithmetic number, because the mean of its divisors is an integer number (1003429252).

Almost surely, 222306364444 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 22306364444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24082302048).

22306364444 is an abundant number, since it is smaller than the sum of its proper divisors (25858239652).

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

22306364444 is a wasteful number, since it uses less digits than its factorization.

22306364444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153246 (or 153244 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 22306364444 in words is "twenty-two billion, three hundred six million, three hundred sixty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 401 802 1604 2807 5213 5614 10426 11228 20852 36491 72982 145964 152821 305642 611284 1069747 1986673 2139494 3973346 4278988 7946692 13906711 27813422 55626844 61281221 122562442 245124884 428968547 796655873 857937094 1593311746 1715874188 3186623492 5576591111 11153182222 22306364444