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102234032 = 2431533889
BaseRepresentation
bin1100001011111…
…11011110110000
321010101000201122
412011333132300
5202132442112
614051121412
72350655255
oct605773660
9233330648
10102234032
1152787a3a
122a2a3268
1318246614
14d81342c
158e96872
hex617f7b0

102234032 has 40 divisors (see below), whose sum is σ = 208379520. Its totient is φ = 48522240.

The previous prime is 102234031. The next prime is 102234037. The reversal of 102234032 is 230432201.

It is a self number, because there is not a number n which added to its sum of digits gives 102234032.

It is not an unprimeable number, because it can be changed into a prime (102234031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24344 + ... + 28232.

It is an arithmetic number, because the mean of its divisors is an integer number (5209488).

Almost surely, 2102234032 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 102234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104189760).

102234032 is an abundant number, since it is smaller than the sum of its proper divisors (106145488).

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

102234032 is a wasteful number, since it uses less digits than its factorization.

102234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 102234032 is about 10111.0846104659. The cubic root of 102234032 is about 467.5899444697.

Adding to 102234032 its reverse (230432201), we get a palindrome (332666233).

The spelling of 102234032 in words is "one hundred two million, two hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 53 62 106 124 212 248 424 496 848 1643 3286 3889 6572 7778 13144 15556 26288 31112 62224 120559 206117 241118 412234 482236 824468 964472 1648936 1928944 3297872 6389627 12779254 25558508 51117016 102234032