Search a number
-
+
102204324 = 223210128109
BaseRepresentation
bin1100001011110…
…00001110100100
321010022111222100
412011320032210
5202131014244
614050332100
72350502535
oct605701644
9233274870
10102204324
1152767692
122a28a030
1318235c41
14d80668c
158e8cb69
hex61783a4

102204324 has 36 divisors (see below), whose sum is σ = 260917020. Its totient is φ = 33729600.

The previous prime is 102204317. The next prime is 102204353. The reversal of 102204324 is 423402201.

102204324 is a `hidden beast` number, since 10 + 220 + 432 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43956900 + 58247424 = 6630^2 + 7632^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102204297 and 102204306.

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, 10419 + ... + 17690.

It is an arithmetic number, because the mean of its divisors is an integer number (7247695).

Almost surely, 2102204324 is an apocalyptic number.

It is an amenable number.

102204324 is an abundant number, since it is smaller than the sum of its proper divisors (158712696).

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

102204324 is a wasteful number, since it uses less digits than its factorization.

102204324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28220 (or 28215 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102204324 is about 10109.6154229525. The cubic root of 102204324 is about 467.5446480469.

Adding to 102204324 its reverse (423402201), we get a palindrome (525606525).

The spelling of 102204324 in words is "one hundred two million, two hundred four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 28109 56218 84327 112436 168654 252981 337308 505962 1011924 2839009 5678018 8517027 11356036 17034054 25551081 34068108 51102162 102204324