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223207747215345 = 32534691848177369
BaseRepresentation
bin110010110000000110011010…
…011110111101111111110001
31002021022110012200101211201100
4302300012122132331333301
5213224013431241342340
62110420120134555013
765005141024650264
oct6260063236757761
91067273180354640
10223207747215345
116513696831a872
122104b1a6b08a69
139771528458a69
143d19453b20cdb
151ac122bd04830
hexcb019a7bdff1

223207747215345 has 48 divisors (see below), whose sum is σ = 387030900344400. Its totient is φ = 119001837588480.

The previous prime is 223207747215319. The next prime is 223207747215361. The reversal of 223207747215345 is 543512747702322.

223207747215345 is a `hidden beast` number, since 2 + 2 + 3 + 207 + 74 + 7 + 21 + 5 + 345 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42974947358784 + 180232799856561 = 6555528^2 + 13425081^2 .

It is not a de Polignac number, because 223207747215345 - 216 = 223207747149809 is a prime.

It is a super-3 number, since 3×2232077472153453 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223207747215291 and 223207747215300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2884937821 + ... + 2885015189.

It is an arithmetic number, because the mean of its divisors is an integer number (8063143757175).

Almost surely, 2223207747215345 is an apocalyptic number.

It is an amenable number.

223207747215345 is a deficient number, since it is larger than the sum of its proper divisors (163823153129055).

223207747215345 is a wasteful number, since it uses less digits than its factorization.

223207747215345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99330 (or 99327 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 223207747215345 in words is "two hundred twenty-three trillion, two hundred seven billion, seven hundred forty-seven million, two hundred fifteen thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 3469 10407 17345 18481 31221 52035 55443 77369 92405 156105 166329 232107 277215 386845 696321 831645 1160535 3481605 64110589 192331767 268393061 320552945 576995301 805179183 961658835 1341965305 1429856489 2415537549 2884976505 4025895915 4289569467 7149282445 12077687745 12868708401 21447847335 64343542005 4960172160341 14880516481023 24800860801705 44641549443069 74402582405115 223207747215345