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225869922306 = 233717311133851
BaseRepresentation
bin1101001001011011100…
…1011000000000000010
3210121000021002220101000
43102112321120000002
512200040200003211
6251432504152430
722214160443010
oct3222671300002
9717007086330
10225869922306
1187877756786
1237937468716
13183b7b4a902
14ad09bd58b0
155d1e6d1656
hex3496e58002

225869922306 has 128 divisors (see below), whose sum is σ = 626974801920. Its totient is φ = 58778784000.

The previous prime is 225869922259. The next prime is 225869922329. The reversal of 225869922306 is 603229968522.

225869922306 is a `hidden beast` number, since 2 + 2 + 586 + 9 + 9 + 22 + 30 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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, 367720 + ... + 766131.

It is an arithmetic number, because the mean of its divisors is an integer number (4898240640).

Almost surely, 2225869922306 is an apocalyptic number.

225869922306 is an abundant number, since it is smaller than the sum of its proper divisors (401104879614).

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

225869922306 is a wasteful number, since it uses less digits than its factorization.

225869922306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133917 (or 1133911 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 225869922306 in words is "two hundred twenty-five billion, eight hundred sixty-nine million, nine hundred twenty-two thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 31 34 42 51 54 62 63 93 102 119 126 153 186 189 217 238 279 306 357 378 434 459 527 558 651 714 837 918 1054 1071 1302 1581 1674 1953 2142 3162 3213 3689 3906 4743 5859 6426 7378 9486 11067 11718 14229 22134 28458 33201 66402 99603 199206 1133851 2267702 3401553 6803106 7936957 10204659 15873914 19275467 20409318 23810871 30613977 35149381 38550934 47621742 57826401 61227954 70298762 71432613 105448143 115652802 134928269 142865226 173479203 210896286 214297839 246045667 269856538 316344429 346958406 404784807 428595678 492091334 520437609 597539477 632688858 738137001 809569614 949033287 1040875218 1195078954 1214354421 1476274002 1792618431 1898066574 2214411003 2428708842 3585236862 3643063263 4182776339 4428822006 5377855293 6643233009 7286126526 8365552678 10755710586 12548329017 13286466018 16133565879 25096658034 32267131758 37644987051 75289974102 112934961153 225869922306