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32230368 = 25321729227
BaseRepresentation
bin111101011110…
…0101111100000
32020122110202100
41322330233200
531222332433
63110450400
7540645042
oct172745740
966573670
1032230368
1117214175
12a963a00
1368a6231
1443cda92
152c69b13
hex1ebcbe0

32230368 has 144 divisors (see below), whose sum is σ = 100835280. Its totient is φ = 9719808.

The previous prime is 32230361. The next prime is 32230369. The reversal of 32230368 is 86303223.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32230361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141871 + ... + 142097.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 232230368 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 32230368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50417640).

32230368 is an abundant number, since it is smaller than the sum of its proper divisors (68604912).

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

32230368 is a wasteful number, since it uses less digits than its factorization.

32230368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 278 counting only the distinct ones).

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

The square root of 32230368 is about 5677.1795814471. The cubic root of 32230368 is about 318.2402361706.

It can be divided in two parts, 32 and 230368, that added together give a square (230400 = 4802).

The spelling of 32230368 in words is "thirty-two million, two hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 227 232 261 272 288 306 348 408 454 464 493 522 544 612 681 696 816 908 928 986 1044 1224 1362 1392 1479 1632 1816 1972 2043 2088 2448 2724 2784 2958 3632 3859 3944 4086 4176 4437 4896 5448 5916 6583 7264 7718 7888 8172 8352 8874 10896 11577 11832 13166 15436 15776 16344 17748 19749 21792 23154 23664 26332 30872 32688 34731 35496 39498 46308 47328 52664 59247 61744 65376 69462 70992 78996 92616 105328 111911 118494 123488 138924 141984 157992 185232 210656 223822 236988 277848 315984 335733 370464 447644 473976 555696 631968 671466 895288 947952 1007199 1111392 1342932 1790576 1895904 2014398 2685864 3581152 4028796 5371728 8057592 10743456 16115184 32230368