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232266006 = 23272380147
BaseRepresentation
bin11011101100000…
…01100100010110
3121012001100001200
431312001210112
5433430003011
635014133330
75520141240
oct1566014426
9535040050
10232266006
1110a120985
1265951246
133917380b
1422bc1090
15155ce856
hexdd81916

232266006 has 48 divisors (see below), whose sum is σ = 600148224. Its totient is φ = 63475632.

The previous prime is 232265993. The next prime is 232266011. The reversal of 232266006 is 600662232.

It is a happy number.

232266006 is a `hidden beast` number, since 2 + 32 + 26 + 600 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37176 + ... + 42971.

It is an arithmetic number, because the mean of its divisors is an integer number (12503088).

Almost surely, 2232266006 is an apocalyptic number.

232266006 is an abundant number, since it is smaller than the sum of its proper divisors (367882218).

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

232266006 is a wasteful number, since it uses less digits than its factorization.

232266006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80185 (or 80182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 232266006 is about 15240.2757849063. The cubic root of 232266006 is about 614.6981187463.

The spelling of 232266006 in words is "two hundred thirty-two million, two hundred sixty-six thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 80147 160294 240441 480882 561029 721323 1122058 1442646 1683087 1843381 3366174 3686762 5049261 5530143 10098522 11060286 12903667 16590429 25807334 33180858 38711001 77422002 116133003 232266006