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220023200101224 = 233134128161210187
BaseRepresentation
bin110010000001110000100100…
…101011110011001101101000
31001212001000100010011211002110
4302001300210223303031220
5212314330003211214344
62055541132430202320
764226103003054462
oct6201604453631550
91055030303154073
10220023200101224
1164119351511863
1220815b786533a0
1395a0138c23160
143c4927317b132
151a68495aae3b9
hexc81c24af3368

220023200101224 has 128 divisors (see below), whose sum is σ = 608977712004480. Its totient is φ = 65813191987200.

The previous prime is 220023200101219. The next prime is 220023200101291. The reversal of 220023200101224 is 422101002320022.

It is a self number, because there is not a number n which added to its sum of digits gives 220023200101224.

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, 27010542 + ... + 34199645.

It is an arithmetic number, because the mean of its divisors is an integer number (4757638375035).

Almost surely, 2220023200101224 is an apocalyptic number.

220023200101224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220023200101224 is an abundant number, since it is smaller than the sum of its proper divisors (388954511903256).

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

220023200101224 is a wasteful number, since it uses less digits than its factorization.

220023200101224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61210531 (or 61210527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 220023200101224 its reverse (422101002320022), we get a palindrome (642124202421246).

The spelling of 220023200101224 in words is "two hundred twenty trillion, twenty-three billion, two hundred million, one hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 281 312 328 492 533 562 843 984 1066 1124 1599 1686 2132 2248 3198 3372 3653 4264 6396 6744 7306 10959 11521 12792 14612 21918 23042 29224 34563 43836 46084 69126 87672 92168 138252 149773 276504 299546 449319 599092 898638 1198184 1797276 3594552 61210187 122420374 183630561 244840748 367261122 489681496 734522244 795732431 1469044488 1591464862 2387197293 2509617667 3182929724 4774394586 5019235334 6365859448 7528853001 9548789172 10038470668 15057706002 17200062547 19097578344 20076941336 30115412004 32625029671 34400125094 51600187641 60230824008 65250059342 68800250188 97875089013 103200375282 130500118684 137600500376 195750178026 206400750564 223600813111 261000237368 391500356052 412801501128 447201626222 670802439333 705202564427 783000712104 894403252444 1341604878666 1410405128854 1788806504888 2115607693281 2683209757332 2820810257708 4231215386562 5366419514664 5641620515416 8462430773124 9167633337551 16924861546248 18335266675102 27502900012653 36670533350204 55005800025306 73341066700408 110011600050612 220023200101224