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22441330340 = 22511213713329
BaseRepresentation
bin10100111001100110…
…111000011010100100
32010220222022200212222
4110321212320122210
5331424440032330
614150455331512
71423055106032
oct247146703244
963828280788
1022441330340
119576600700
124423680b98
1321684047c0
14112c623552
158b52580e5
hex5399b86a4

22441330340 has 72 divisors (see below), whose sum is σ = 55785259320. Its totient is φ = 7532743680.

The previous prime is 22441330319. The next prime is 22441330349. The reversal of 22441330340 is 4303314422.

It can be written as a sum of positive squares in 4 ways, for example, as 532594084 + 21908736256 = 23078^2 + 148016^2 .

It is a super-2 number, since 2×224413303402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (22441330349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325205 + ... + 388124.

Almost surely, 222441330340 is an apocalyptic number.

22441330340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22441330340 is an abundant number, since it is smaller than the sum of its proper divisors (33343928980).

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

22441330340 is a wasteful number, since it uses less digits than its factorization.

22441330340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713373 (or 713360 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 22441330340 its reverse (4303314422), we get a palindrome (26744644762).

The spelling of 22441330340 in words is "twenty-two billion, four hundred forty-one million, three hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 121 130 143 220 242 260 286 484 572 605 715 1210 1430 1573 2420 2860 3146 6292 7865 15730 31460 713329 1426658 2853316 3566645 7133290 7846619 9273277 14266580 15693238 18546554 31386476 37093108 39233095 46366385 78466190 86312809 92732770 102006047 156932380 172625618 185465540 204012094 345251236 408024188 431564045 510030235 863128090 1020060470 1122066517 1726256180 2040120940 2244133034 4488266068 5610332585 11220665170 22441330340