Search a number
-
+
235220490 = 23352333739
BaseRepresentation
bin11100000010100…
…10111000001010
3121101121102212000
432001102320022
5440204023430
635201331430
75554225011
oct1601227012
9541542760
10235220490
111108596aa
1266936b76
133996952b
142334da78
15159b4e60
hexe052e0a

235220490 has 64 divisors (see below), whose sum is σ = 630115200. Its totient is φ = 62439552.

The previous prime is 235220459. The next prime is 235220501. The reversal of 235220490 is 94022532.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61041 + ... + 64779.

It is an arithmetic number, because the mean of its divisors is an integer number (9845550).

Almost surely, 2235220490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235220490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315057600).

235220490 is an abundant number, since it is smaller than the sum of its proper divisors (394894710).

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

235220490 is a wasteful number, since it uses less digits than its factorization.

235220490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 235220490 is about 15336.8996215011. The cubic root of 235220490 is about 617.2935182486.

The spelling of 235220490 in words is "two hundred thirty-five million, two hundred twenty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 233 270 466 699 1165 1398 2097 2330 3495 3739 4194 6291 6990 7478 10485 11217 12582 18695 20970 22434 31455 33651 37390 56085 62910 67302 100953 112170 168255 201906 336510 504765 871187 1009530 1742374 2613561 4355935 5227122 7840683 8711870 13067805 15681366 23522049 26135610 39203415 47044098 78406830 117610245 235220490