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102232096 = 256183631
BaseRepresentation
bin1100001011111…
…11000000100000
321010100221001221
412011333000200
5202132411341
614051104424
72350646521
oct605770040
9233327057
10102232096
115278653a
122a2a2114
1318245785
14d812848
158e95ed1
hex617f020

102232096 has 48 divisors (see below), whose sum is σ = 207361728. Its totient is φ = 49593600.

The previous prime is 102232069. The next prime is 102232127. The reversal of 102232096 is 690232201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102232096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161701 + ... + 162331.

It is an arithmetic number, because the mean of its divisors is an integer number (4320036).

Almost surely, 2102232096 is an apocalyptic number.

102232096 is a gapful number since it is divisible by the number (16) 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 102232096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680864).

102232096 is an abundant number, since it is smaller than the sum of its proper divisors (105129632).

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

102232096 is an equidigital number, since it uses as much as digits as its factorization.

102232096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 102232096 is about 10110.9888734980. The cubic root of 102232096 is about 467.5869928764.

Adding to 102232096 its reverse (690232201), we get a palindrome (792464297).

The spelling of 102232096 in words is "one hundred two million, two hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 61 83 122 166 244 332 488 631 664 976 1262 1328 1952 2524 2656 5048 5063 10096 10126 20192 20252 38491 40504 52373 76982 81008 104746 153964 162016 209492 307928 418984 615856 837968 1231712 1675936 3194753 6389506 12779012 25558024 51116048 102232096