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22454311000 = 2353113495849
BaseRepresentation
bin10100111010011000…
…011001100001011000
32010221212202012000011
4110322120121201120
5331441300423000
614152041451304
71423303331362
oct247230314130
963855665004
1022454311000
119582967220
124427aa0b34
13216accac74
141130241d32
158b646e2ba
hex53a619858

22454311000 has 128 divisors (see below), whose sum is σ = 57493800000. Its totient is φ = 8140416000.

The previous prime is 22454310943. The next prime is 22454311001. The reversal of 22454311000 is 11345422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22454311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836076 + ... + 3841924.

Almost surely, 222454311000 is an apocalyptic number.

22454311000 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 22454311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746900000).

22454311000 is an abundant number, since it is smaller than the sum of its proper divisors (35039489000).

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

22454311000 is a wasteful number, since it uses less digits than its factorization.

22454311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6216 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 22454311000 its reverse (11345422), we get a palindrome (22465656422).

The spelling of 22454311000 in words is "twenty-two billion, four hundred fifty-four million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 349 440 500 550 698 1000 1100 1375 1396 1745 2200 2750 2792 3490 3839 5500 5849 6980 7678 8725 11000 11698 13960 15356 17450 19195 23396 29245 30712 34900 38390 43625 46792 58490 64339 69800 76780 87250 95975 116980 128678 146225 153560 174500 191950 233960 257356 292450 321695 349000 383900 479875 514712 584900 643390 731125 767800 959750 1169800 1286780 1462250 1608475 1919500 2041301 2573560 2924500 3216950 3839000 4082602 5849000 6433900 8042375 8165204 10206505 12867800 16084750 16330408 20413010 22454311 32169500 40826020 44908622 51032525 64339000 81652040 89817244 102065050 112271555 179634488 204130100 224543110 255162625 408260200 449086220 510325250 561357775 898172440 1020650500 1122715550 2041301000 2245431100 2806788875 4490862200 5613577750 11227155500 22454311000