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22341211344 = 243440142989
BaseRepresentation
bin10100110011101000…
…111101010011010000
32010122222221010110000
4110303220331103100
5331223322230334
614132521410000
71420431106644
oct246350752320
963588833400
1022341211344
119525038831
1243b6039900
13215074baaa
14111d200c24
158ab57d299
hex533a3d4d0

22341211344 has 100 divisors (see below), whose sum is σ = 64824706980. Its totient is φ = 7428326400.

The previous prime is 22341211339. The next prime is 22341211397. The reversal of 22341211344 is 44311214322.

It can be written as a sum of positive squares in 2 ways, for example, as 17905651344 + 4435560000 = 133812^2 + 66600^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 498202 + ... + 541190.

Almost surely, 222341211344 is an apocalyptic number.

22341211344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22341211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32412353490).

22341211344 is an abundant number, since it is smaller than the sum of its proper divisors (42483495636).

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

22341211344 is a wasteful number, since it uses less digits than its factorization.

22341211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43410 (or 43395 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22341211344 its reverse (44311214322), we get a palindrome (66652425666).

The spelling of 22341211344 in words is "twenty-two billion, three hundred forty-one million, two hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 401 432 648 802 1203 1296 1604 2406 3208 3609 4812 6416 7218 9624 10827 14436 19248 21654 28872 32481 42989 43308 57744 64962 85978 86616 128967 129924 171956 173232 257934 259848 343912 386901 515868 519696 687824 773802 1031736 1160703 1547604 2063472 2321406 3095208 3482109 4642812 6190416 6964218 9285624 13928436 17238589 18571248 27856872 34477178 51715767 55713744 68954356 103431534 137908712 155147301 206863068 275817424 310294602 413726136 465441903 620589204 827452272 930883806 1241178408 1396325709 1861767612 2482356816 2792651418 3723535224 5585302836 7447070448 11170605672 22341211344