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22430111000 = 2353112418461
BaseRepresentation
bin10100111000111100…
…000101010100011000
32010220012012200211212
4110320330011110120
5331414102023000
614145415042252
71422560540423
oct247074052430
963805180755
1022430111000
119570238420
12441b970388
132165ca6c3b
14112ad429ba
158b428dc35
hex538f05518

22430111000 has 128 divisors (see below), whose sum is σ = 57502336320. Its totient is φ = 8121600000.

The previous prime is 22430110961. The next prime is 22430111089. The reversal of 22430111000 is 11103422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2646770 + ... + 2655230.

Almost surely, 222430111000 is an apocalyptic number.

22430111000 is a gapful number since it is divisible by the number (20) 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 22430111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28751168160).

22430111000 is an abundant number, since it is smaller than the sum of its proper divisors (35072225320).

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

22430111000 is a wasteful number, since it uses less digits than its factorization.

22430111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 22430111000 its reverse (11103422), we get a palindrome (22441214422).

The spelling of 22430111000 in words is "twenty-two billion, four hundred thirty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 241 250 275 440 482 500 550 964 1000 1100 1205 1375 1928 2200 2410 2651 2750 4820 5302 5500 6025 8461 9640 10604 11000 12050 13255 16922 21208 24100 26510 30125 33844 42305 48200 53020 60250 66275 67688 84610 93071 106040 120500 132550 169220 186142 211525 241000 265100 331375 338440 372284 423050 465355 530200 662750 744568 846100 930710 1057625 1325500 1692200 1861420 2039101 2115250 2326775 2651000 3722840 4078202 4230500 4653550 8156404 8461000 9307100 10195505 11633875 16312808 18614200 20391010 22430111 23267750 40782020 44860222 46535500 50977525 81564040 89720444 93071000 101955050 112150555 179440888 203910100 224301110 254887625 407820200 448602220 509775250 560752775 897204440 1019550500 1121505550 2039101000 2243011100 2803763875 4486022200 5607527750 11215055500 22430111000