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102223300 = 22521975189
BaseRepresentation
bin1100001011111…
…00110111000100
321010100111000011
412011330313010
5202132121200
614051000004
72350612054
oct605746704
9233314004
10102223300
115277a973
122a299004
131824177a
14d80d564
158e935ba
hex617cdc4

102223300 has 36 divisors (see below), whose sum is σ = 222993540. Its totient is φ = 40673920.

The previous prime is 102223271. The next prime is 102223309. The reversal of 102223300 is 3322201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10982596 + 91240704 = 3314^2 + 9552^2 .

It is not an unprimeable number, because it can be changed into a prime (102223309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17106 + ... + 22294.

It is an arithmetic number, because the mean of its divisors is an integer number (6194265).

Almost surely, 2102223300 is an apocalyptic number.

102223300 is a gapful number since it is divisible by the number (10) 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 102223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111496770).

102223300 is an abundant number, since it is smaller than the sum of its proper divisors (120770240).

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

102223300 is a wasteful number, since it uses less digits than its factorization.

102223300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 102223300 is about 10110.5538918498. The cubic root of 102223300 is about 467.5735821724.

Adding to 102223300 its reverse (3322201), we get a palindrome (105545501).

The spelling of 102223300 in words is "one hundred two million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 197 394 788 985 1970 3940 4925 5189 9850 10378 19700 20756 25945 51890 103780 129725 259450 518900 1022233 2044466 4088932 5111165 10222330 20444660 25555825 51111650 102223300