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152233263 = 34713191087
BaseRepresentation
bin10010001001011…
…10010100101111
3101121110020210000
421010232110233
5302432431023
623034515343
73525650520
oct1104562457
9347406700
10152233263
1178a28116
1242b95b53
1325701570
141630a847
15d571243
hex912e52f

152233263 has 80 divisors (see below), whose sum is σ = 294891520. Its totient is φ = 76002624.

The previous prime is 152233243. The next prime is 152233321. The reversal of 152233263 is 362332251.

152233263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152233263 - 26 = 152233199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152233243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139506 + ... + 140592.

It is an arithmetic number, because the mean of its divisors is an integer number (3686144).

Almost surely, 2152233263 is an apocalyptic number.

152233263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

152233263 is a deficient number, since it is larger than the sum of its proper divisors (142658257).

152233263 is a wasteful number, since it uses less digits than its factorization.

152233263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1129 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 152233263 is about 12338.2844431469. The cubic root of 152233263 is about 533.9531899379.

The spelling of 152233263 in words is "one hundred fifty-two million, two hundred thirty-three thousand, two hundred sixty-three".

Divisors: 1 3 7 9 13 19 21 27 39 57 63 81 91 117 133 171 189 247 273 351 399 513 567 741 819 1053 1087 1197 1539 1729 2223 2457 3261 3591 5187 6669 7371 7609 9783 10773 14131 15561 20007 20653 22827 29349 42393 46683 61959 68481 88047 98917 127179 140049 144571 185877 205443 268489 296751 381537 433713 557631 616329 805467 890253 1144611 1301139 1672893 1879423 2416401 2670759 3903417 5638269 7249203 8012277 11710251 16914807 21747609 50744421 152233263