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233022132 = 223275373239
BaseRepresentation
bin11011110001110…
…10001010110100
3121020110202021100
431320322022310
5434123202012
635042250100
75526440550
oct1570721264
9536422240
10233022132
1110a597a82
1266056930
1339379a25
1422d3a860
15156cd8dc
hexde3a2b4

233022132 has 144 divisors (see below), whose sum is σ = 698181120. Its totient is φ = 64157184.

The previous prime is 233022121. The next prime is 233022151. The reversal of 233022132 is 231220332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 974869 + ... + 975107.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2233022132 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 233022132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349090560).

233022132 is an abundant number, since it is smaller than the sum of its proper divisors (465158988).

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

233022132 is a wasteful number, since it uses less digits than its factorization.

233022132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233022132 is about 15265.0624630232. The cubic root of 233022132 is about 615.3644320319.

Adding to 233022132 its reverse (231220332), we get a palindrome (464242464).

The spelling of 233022132 in words is "two hundred thirty-three million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 73 84 106 126 146 159 212 219 239 252 292 318 371 438 477 478 511 636 657 717 742 876 954 956 1022 1113 1314 1434 1484 1533 1673 1908 2044 2151 2226 2628 2868 3066 3339 3346 3869 4302 4452 4599 5019 6132 6678 6692 7738 8604 9198 10038 11607 12667 13356 15057 15476 17447 18396 20076 23214 25334 27083 30114 34821 34894 38001 46428 50668 52341 54166 60228 69642 69788 76002 81249 88669 104682 108332 114003 122129 139284 152004 157023 162498 177338 209364 228006 243747 244258 266007 314046 324996 354676 366387 456012 487494 488516 532014 628092 732774 798021 924691 974988 1064028 1099161 1465548 1596042 1849382 2198322 2774073 3192084 3698764 4396644 5548146 6472837 8322219 11096292 12945674 16644438 19418511 25891348 33288876 38837022 58255533 77674044 116511066 233022132