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22414002144330 = 23541109336914517
BaseRepresentation
bin1010001100010101010101…
…01000101100010001001010
32221100202110100101100122210
411012022222220230101022
510414212334022104310
6115400503405525550
74502233603500126
oct506125250542112
987322410340583
1022414002144330
1171617a7973525
12261bb97b738b6
13c67829066334
14576bb4784586
1528d08db65820
hex1462aaa2c44a

22414002144330 has 128 divisors (see below), whose sum is σ = 55183218644736. Its totient is φ = 5823082137600.

The previous prime is 22414002144329. The next prime is 22414002144403. The reversal of 22414002144330 is 3344120041422.

It is a super-2 number, since 2×224140021443302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4962141232 + ... + 4962145748.

It is an arithmetic number, because the mean of its divisors is an integer number (431118895662).

Almost surely, 222414002144330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22414002144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27591609322368).

22414002144330 is an abundant number, since it is smaller than the sum of its proper divisors (32769216500406).

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

22414002144330 is a wasteful number, since it uses less digits than its factorization.

22414002144330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 22414002144330 its reverse (3344120041422), we get a palindrome (25758122185752).

The spelling of 22414002144330 in words is "twenty-two trillion, four hundred fourteen billion, two million, one hundred forty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1093 1230 2186 3279 3691 4517 5465 6558 7382 9034 10930 11073 13551 16395 18455 22146 22585 27102 32790 36910 44813 45170 55365 67755 89626 110730 134439 135510 151331 185197 224065 268878 302662 370394 448130 453993 555591 672195 756655 907986 925985 1111182 1344390 1513310 1851970 2269965 2777955 4034263 4539930 4937081 5555910 8068526 9874162 12102789 14811243 16672247 20171315 24205578 24685405 29622486 33344494 40342630 49370810 50016741 60513945 74056215 83361235 100033482 121027890 148112430 165404783 166722470 202420321 250083705 330809566 404840642 496214349 500167410 607260963 683562127 827023915 992428698 1012101605 1214521926 1367124254 1654047830 2024203210 2050686381 2481071745 3036304815 3417810635 4101372762 4962143490 6072609630 6835621270 10253431905 18222765971 20506863810 36445531942 54668297913 91113829855 109336595826 182227659710 273341489565 546682979130 747133404811 1494266809622 2241400214433 3735667024055 4482800428866 7471334048110 11207001072165 22414002144330