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229294032 = 2431133797
BaseRepresentation
bin11011010101010…
…11111111010000
3120222110100021120
431222223333100
5432144402112
634430322240
75452652502
oct1552537720
9528410246
10229294032
11108481000
1264959380
1338672b56
1422649d72
15151e3e8c
hexdaabfd0

229294032 has 160 divisors (see below), whose sum is σ = 676040064. Its totient is φ = 66908160.

The previous prime is 229293997. The next prime is 229294049. The reversal of 229294032 is 230492922.

It is a happy number.

229294032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2292940322 = 105151506221634048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 229293984 and 229294002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2363808 + ... + 2363904.

Almost surely, 2229294032 is an apocalyptic number.

229294032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229294032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338020032).

229294032 is an abundant number, since it is smaller than the sum of its proper divisors (446746032).

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

229294032 is a wasteful number, since it uses less digits than its factorization.

229294032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 229294032 is about 15142.4579246567. The cubic root of 229294032 is about 612.0650535316.

The spelling of 229294032 in words is "two hundred twenty-nine million, two hundred ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 97 111 121 132 148 176 194 222 242 264 291 296 363 388 407 444 484 528 582 592 726 776 814 888 968 1067 1164 1221 1331 1452 1552 1628 1776 1936 2134 2328 2442 2662 2904 3201 3256 3589 3993 4268 4477 4656 4884 5324 5808 6402 6512 7178 7986 8536 8954 9768 10648 10767 11737 12804 13431 14356 15972 17072 17908 19536 21296 21534 23474 25608 26862 28712 31944 35211 35816 39479 43068 46948 49247 51216 53724 57424 63888 70422 71632 78958 86136 93896 98494 107448 118437 129107 140844 147741 157916 172272 187792 196988 214896 236874 258214 281688 295482 315832 387321 393976 434269 473748 516428 563376 590964 631664 774642 787952 868538 947496 1032856 1181928 1302807 1549284 1737076 1894992 2065712 2363856 2605614 3098568 3474152 4776959 5211228 6197136 6948304 9553918 10422456 14330877 19107836 20844912 28661754 38215672 57323508 76431344 114647016 229294032