Search a number
-
+
155023312900 = 2252393732
BaseRepresentation
bin1001000001100000011…
…1000000100000000100
3112211010211201020201111
42100120013000200010
510014441432003100
6155114451334404
714125423263241
oct2203007004004
9484124636644
10155023312900
115a821689515
1226064bb1404
13118071b1361
1477089a05c8
154074add6ba
hex24181c0804

155023312900 has 27 divisors (see below), whose sum is σ = 336409133151. Its totient is φ = 62007750240.

The previous prime is 155023312883. The next prime is 155023312909. The reversal of 155023312900 is 9213320551.

The square root of 155023312900 is 393730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37259036676 + 117764276224 = 193026^2 + 343168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155023312909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3917614 + ... + 3956986.

Almost surely, 2155023312900 is an apocalyptic number.

155023312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155023312900 is the 393730-th square number.

It is an amenable number.

155023312900 is an abundant number, since it is smaller than the sum of its proper divisors (181385820251).

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

155023312900 is an frugal number, since it uses more digits than its factorization.

155023312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78760 (or 39380 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 155023312900 in words is "one hundred fifty-five billion, twenty-three million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 39373 78746 157492 196865 393730 787460 984325 1968650 3937300 1550233129 3100466258 6200932516 7751165645 15502331290 31004662580 38755828225 77511656450 155023312900