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102233142 = 23211273643
BaseRepresentation
bin1100001011111…
…11010000110110
321010100222111200
412011333100312
5202132430032
614051113330
72350652544
oct605772066
9233328450
10102233142
1152787300
122a2a2846
13182460ab
14d812d94
158e9647c
hex617f436

102233142 has 72 divisors (see below), whose sum is σ = 247191672. Its totient is φ = 30507840.

The previous prime is 102233077. The next prime is 102233179. The reversal of 102233142 is 241332201.

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 35 ways as a sum of consecutive naturals, for example, 158673 + ... + 159315.

Almost surely, 2102233142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102233142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123595836).

102233142 is an abundant number, since it is smaller than the sum of its proper divisors (144958530).

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

102233142 is a wasteful number, since it uses less digits than its factorization.

102233142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102233142 is about 10111.0405992657. The cubic root of 102233142 is about 467.5885875952.

Adding to 102233142 its reverse (241332201), we get a palindrome (343565343).

The spelling of 102233142 in words is "one hundred two million, two hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 121 146 198 219 242 363 438 643 657 726 803 1089 1286 1314 1606 1929 2178 2409 3858 4818 5787 7073 7227 8833 11574 14146 14454 17666 21219 26499 42438 46939 52998 63657 77803 79497 93878 127314 140817 155606 158994 233409 281634 422451 466818 516329 700227 844902 1032658 1400454 1548987 3097974 4646961 5679619 9293922 11359238 17038857 34077714 51116571 102233142