Search a number
-
+
102233352 = 233132911299
BaseRepresentation
bin1100001011111…
…11010100001000
321010100222210110
412011333110020
5202132431402
614051114320
72350653264
oct605772410
9233328713
10102233352
1152787481
122a2a29a0
1318246210
14d8130a4
158e9656c
hex617f508

102233352 has 64 divisors (see below), whose sum is σ = 284760000. Its totient is φ = 30369024.

The previous prime is 102233333. The next prime is 102233363. The reversal of 102233352 is 253332201.

It is a super-2 number, since 2×1022333522 = 20903316522311808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3399 + ... + 14697.

It is an arithmetic number, because the mean of its divisors is an integer number (4449375).

Almost surely, 2102233352 is an apocalyptic number.

102233352 is a gapful number since it is divisible by the number (12) 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 102233352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142380000).

102233352 is an abundant number, since it is smaller than the sum of its proper divisors (182526648).

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

102233352 is a wasteful number, since it uses less digits than its factorization.

102233352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350 (or 11346 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 102233352 is about 10111.0509839482. The cubic root of 102233352 is about 467.5889077573.

Adding to 102233352 its reverse (253332201), we get a palindrome (355565553).

The spelling of 102233352 in words is "one hundred two million, two hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 696 754 1131 1508 2262 3016 4524 9048 11299 22598 33897 45196 67794 90392 135588 146887 271176 293774 327671 440661 587548 655342 881322 983013 1175096 1310684 1762644 1966026 2621368 3525288 3932052 4259723 7864104 8519446 12779169 17038892 25558338 34077784 51116676 102233352