Search a number
-
+
290025164 = 2211131373701
BaseRepresentation
bin10001010010010…
…110111011001100
3202012201210201202
4101102112323030
51043221301124
644440125032
710121113262
oct2122267314
9665653652
10290025164
11139791220
1281166778
1348117830
142a738432
151a6dd5ae
hex11496ecc

290025164 has 48 divisors (see below), whose sum is σ = 600790176. Its totient is φ = 120768000.

The previous prime is 290025163. The next prime is 290025199. The reversal of 290025164 is 461520092.

It is a happy number.

It is a super-2 number, since 2×2900251642 = 168229191506453792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (290025161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76514 + ... + 80214.

It is an arithmetic number, because the mean of its divisors is an integer number (12516462).

Almost surely, 2290025164 is an apocalyptic number.

It is an amenable number.

290025164 is an abundant number, since it is smaller than the sum of its proper divisors (310765012).

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

290025164 is a wasteful number, since it uses less digits than its factorization.

290025164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 290025164 is about 17030.1251903795. The cubic root of 290025164 is about 661.9297394422.

The spelling of 290025164 in words is "two hundred ninety million, twenty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 11 13 22 26 44 52 137 143 274 286 548 572 1507 1781 3014 3562 3701 6028 7124 7402 14804 19591 39182 40711 48113 78364 81422 96226 162844 192452 507037 529243 1014074 1058486 2028148 2116972 5577407 6591481 11154814 13182962 22309628 26365924 72506291 145012582 290025164