Search a number
-
+
203156375272200 = 23325271923713491489
BaseRepresentation
bin101110001100010100000111…
…100101001111101100001000
3222122022120010002120020020200
4232030110013211033230020
5203112003224032202300
62000024430025452200
760535364236413360
oct5614240745175410
9878276102506220
10203156375272200
1159806153624579
121a951097041060
1389487440cb23c
143824b6cc859a0
15187486be27200
hexb8c50794fb08

203156375272200 has 2304 divisors, whose sum is σ = 871594214400000. Its totient is φ = 41339754086400.

The previous prime is 203156375272139. The next prime is 203156375272259. The reversal of 203156375272200 is 2272573651302.

It is a happy number.

203156375272200 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 5 + 6 + 375 + 2 + 72 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 136438129056 + ... + 136438130544.

It is an arithmetic number, because the mean of its divisors is an integer number (378296100000).

Almost surely, 2203156375272200 is an apocalyptic number.

203156375272200 is a gapful number since it is divisible by the number (20) 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 203156375272200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435797107200000).

203156375272200 is an abundant number, since it is smaller than the sum of its proper divisors (668437839127800).

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

203156375272200 is a wasteful number, since it uses less digits than its factorization.

203156375272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 203156375272200 in words is "two hundred three trillion, one hundred fifty-six billion, three hundred seventy-five million, two hundred seventy-two thousand, two hundred".