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223221639253660 = 2251719110833117787
BaseRepresentation
bin110010110000010011010110…
…100000111000111010011100
31002021100210001211201111200221
4302300103112200320322130
5213224230404122104120
62110430334433331124
765006142212223565
oct6260232640707234
91067323054644627
10223221639253660
1165141846a89873
1221051a23406aa4
139772930597288
143d19db0b3316c
151ac179170e0aa
hexcb04d6838e9c

223221639253660 has 96 divisors (see below), whose sum is σ = 522510340343040. Its totient is φ = 79606205457408.

The previous prime is 223221639253607. The next prime is 223221639253687. The reversal of 223221639253660 is 66352936122322.

It is a happy number.

It is a super-3 number, since 3×2232216392536603 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223221639253598 and 223221639253607.

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, 70037287 + ... + 73155073.

It is an arithmetic number, because the mean of its divisors is an integer number (5442816045240).

Almost surely, 2223221639253660 is an apocalyptic number.

223221639253660 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 223221639253660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261255170171520).

223221639253660 is an abundant number, since it is smaller than the sum of its proper divisors (299288701089380).

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

223221639253660 is a wasteful number, since it uses less digits than its factorization.

223221639253660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128915 (or 3128913 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 52.

The spelling of 223221639253660 in words is "two hundred twenty-three trillion, two hundred twenty-one billion, six hundred thirty-nine million, two hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 6460 11083 22166 44332 55415 110830 188411 210577 221660 376822 421154 753644 842308 942055 1052885 1884110 2105770 3117787 3579809 3768220 4211540 6235574 7159618 12471148 14319236 15588935 17899045 31177870 35798090 53002379 59237953 62355740 71596180 106004758 118475906 212009516 236951812 265011895 296189765 530023790 592379530 1007045201 1060047580 1184759060 2014090402 4028180804 5035226005 10070452010 20140904020 34554433321 69108866642 138217733284 172772166605 345544333210 587425366457 656534233099 691088666420 1174850732914 1313068466198 2349701465828 2626136932396 2937126832285 3282671165495 5874253664570 6565342330990 11161081962683 11748507329140 13130684661980 22322163925366 44644327850732 55805409813415 111610819626830 223221639253660