Search a number
-
+
102223100 = 22527146033
BaseRepresentation
bin1100001011111…
…00110011111100
321010100110201202
412011330303330
5202132114400
614050555032
72350611350
oct605746374
9233313652
10102223100
115277a801
122a298a78
1318241655
14d80d460
158e934d5
hex617ccfc

102223100 has 36 divisors (see below), whose sum is σ = 253515024. Its totient is φ = 35047680.

The previous prime is 102223087. The next prime is 102223111. The reversal of 102223100 is 1322201.

It is a happy number.

It is a super-2 number, since 2×1022231002 = 20899124347220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72317 + ... + 73716.

It is an arithmetic number, because the mean of its divisors is an integer number (7042084).

Almost surely, 2102223100 is an apocalyptic number.

102223100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102223100 is an abundant number, since it is smaller than the sum of its proper divisors (151291924).

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

102223100 is a wasteful number, since it uses less digits than its factorization.

102223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146054 (or 146047 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102223100 is about 10110.5440011900. The cubic root of 102223100 is about 467.5732772361.

Adding to 102223100 its reverse (1322201), we get a palindrome (103545301).

The spelling of 102223100 in words is "one hundred two million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 146033 292066 584132 730165 1022231 1460330 2044462 2920660 3650825 4088924 5111155 7301650 10222310 14603300 20444620 25555775 51111550 102223100