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22044414420 = 223257171029151
BaseRepresentation
bin10100100001111100…
…110001000111010100
32002220022110021121100
4110201330301013110
5330121332230140
614043240150100
71410165300540
oct244174610724
962808407540
1022044414420
119392551916
124332768330
132104102c02
1410d1a22a20
158904a3530
hex521f311d4

22044414420 has 144 divisors (see below), whose sum is σ = 80916046848. Its totient is φ = 4742323200.

The previous prime is 22044414389. The next prime is 22044414421. The reversal of 22044414420 is 2441444022.

22044414420 is a `hidden beast` number, since 2 + 204 + 4 + 414 + 42 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22044414421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493156 + ... + 535995.

It is an arithmetic number, because the mean of its divisors is an integer number (561916992).

Almost surely, 222044414420 is an apocalyptic number.

22044414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22044414420 is an abundant number, since it is smaller than the sum of its proper divisors (58871632428).

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

22044414420 is a wasteful number, since it uses less digits than its factorization.

22044414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029190 (or 1029185 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22044414420 its reverse (2441444022), we get a palindrome (24485858442).

The spelling of 22044414420 in words is "twenty-two billion, forty-four million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 1029151 2058302 3087453 4116604 5145755 6174906 7204057 9262359 10291510 12349812 14408114 15437265 17495567 18524718 20583020 21612171 28816228 30874530 34991134 36020285 37049436 43224342 46311795 52486701 61749060 64836513 69982268 72040570 86448684 87477835 92623590 104973402 108060855 122468969 129673026 144081140 157460103 174955670 185247180 209946804 216121710 244937938 259346052 262433505 314920206 324182565 349911340 367406907 432243420 489875876 524867010 612344845 629840412 648365130 734813814 787300515 1049734020 1102220721 1224689690 1296730260 1469627628 1574601030 1837034535 2204441442 2449379380 3149202060 3674069070 4408882884 5511103605 7348138140 11022207210 22044414420