Search a number
-
+
155900196 = 223220812
BaseRepresentation
bin10010100101011…
…01100100100100
3101212100112212100
421102231210210
5304402301241
623245252100
73602062344
oct1122554444
9355315770
10155900196
1180002141
1244264030
13263b664a
14169c2d24
15da479b6
hex94ad924

155900196 has 27 divisors (see below), whose sum is σ = 394270513. Its totient is φ = 51941760.

The previous prime is 155900191. The next prime is 155900197. The reversal of 155900196 is 691009551.

The square root of 155900196 is 12486.

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

It can be written as a sum of positive squares in only one way, i.e., 59074596 + 96825600 = 7686^2 + 9840^2 .

It is a super-2 number, since 2×1559001962 = 48609742225676832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 155900196.

It is not an unprimeable number, because it can be changed into a prime (155900191) 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, 73876 + ... + 75956.

Almost surely, 2155900196 is an apocalyptic number.

155900196 is the 12486-th square number.

It is an amenable number.

155900196 is an abundant number, since it is smaller than the sum of its proper divisors (238370317).

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

155900196 is an equidigital number, since it uses as much as digits as its factorization.

155900196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The cubic root of 155900196 is about 538.2064362584.

Multiplying 155900196 by its sum of digits (36), we get a square (5612407056 = 749162).

155900196 divided by its sum of digits (36) gives a square (4330561 = 20812).

The spelling of 155900196 in words is "one hundred fifty-five million, nine hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2081 4162 6243 8324 12486 18729 24972 37458 74916 4330561 8661122 12991683 17322244 25983366 38975049 51966732 77950098 155900196