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229840632 = 23337712141
BaseRepresentation
bin11011011001100…
…01011011111000
3121000111010002000
431230301123320
5432314400012
634450141000
75460420210
oct1554613370
9530433060
10229840632
1110881473a
1264b81760
1338804898
142274d240
15152a0ddc
hexdb316f8

229840632 has 128 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 64713600.

The previous prime is 229840609. The next prime is 229840657. The reversal of 229840632 is 236048922.

It is a super-2 number, since 2×2298406322 = 105653432236318848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 106282 + ... + 108422.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2229840632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229840632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

229840632 is an abundant number, since it is smaller than the sum of its proper divisors (510434568).

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

229840632 is a wasteful number, since it uses less digits than its factorization.

229840632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 229840632 is about 15160.4957702576. The cubic root of 229840632 is about 612.5510223774.

The spelling of 229840632 in words is "two hundred twenty-nine million, eight hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1278 1491 1512 1704 1917 1988 2141 2556 2982 3834 3976 4282 4473 5112 5964 6423 7668 8564 8946 11928 12846 13419 14987 15336 17128 17892 19269 25692 26838 29974 35784 38538 44961 51384 53676 57807 59948 77076 89922 107352 115614 119896 134883 152011 154152 179844 231228 269766 304022 359688 404649 456033 462456 539532 608044 809298 912066 1064077 1079064 1216088 1368099 1618596 1824132 2128154 2736198 3192231 3237192 3648264 4104297 4256308 5472396 6384462 8208594 8512616 9576693 10944792 12768924 16417188 19153386 25537848 28730079 32834376 38306772 57460158 76613544 114920316 229840632