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221323320114440 = 23597131435435823
BaseRepresentation
bin110010010100101011011001…
…111000000011110100001000
31002000122022011201100120111112
4302110223121320003310020
5213002130124422130230
62102414310222145452
764422040123614005
oct6224533170036410
91060568151316445
10221323320114440
116457a769354725
12209a5b38122288
139665912b4a51b
143c9216a6468ac
151a8c1da2ddd95
hexc94ad9e03d08

221323320114440 has 64 divisors (see below), whose sum is σ = 506951803733760. Its totient is φ = 86947824936960.

The previous prime is 221323320114439. The next prime is 221323320114451. The reversal of 221323320114440 is 44411023323122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221323320114397 and 221323320114406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217209632 + ... + 218226191.

It is an arithmetic number, because the mean of its divisors is an integer number (7921121933340).

Almost surely, 2221323320114440 is an apocalyptic number.

221323320114440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221323320114440 is an abundant number, since it is smaller than the sum of its proper divisors (285628483619320).

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

221323320114440 is a wasteful number, since it uses less digits than its factorization.

221323320114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435436062 (or 435436058 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 221323320114440 its reverse (44411023323122), we get a palindrome (265734343437562).

The spelling of 221323320114440 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, three hundred twenty million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 131 194 262 388 485 524 655 776 970 1048 1310 1940 2620 3880 5240 12707 25414 50828 63535 101656 127070 254140 508280 435435823 870871646 1741743292 2177179115 3483486584 4354358230 8708716460 17417432920 42237274831 57042092813 84474549662 114084185626 168949099324 211186374155 228168371252 285210464065 337898198648 422372748310 456336742504 570420928130 844745496620 1140841856260 1689490993240 2281683712520 5533083002861 11066166005722 22132332011444 27665415014305 44264664022888 55330830028610 110661660057220 221323320114440