Search a number
-
+
190024452 = 223237331431
BaseRepresentation
bin10110101001110…
…00101100000100
3111020120020112200
423110320230010
5342121240302
630504514500
74465116102
oct1324705404
9436506480
10190024452
119829a202
125377ba30
13304a3907
141b346c72
1511a3881c
hexb538b04

190024452 has 72 divisors (see below), whose sum is σ = 495960192. Its totient is φ = 61300800.

The previous prime is 190024423. The next prime is 190024469. The reversal of 190024452 is 254420091.

190024452 is a `hidden beast` number, since 190 + 0 + 24 + 452 = 666.

It is a super-2 number, since 2×1900244522 = 72218584715800608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440677 + ... + 441107.

It is an arithmetic number, because the mean of its divisors is an integer number (6888336).

Almost surely, 2190024452 is an apocalyptic number.

190024452 is a gapful number since it is divisible by the number (12) 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 190024452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247980096).

190024452 is an abundant number, since it is smaller than the sum of its proper divisors (305935740).

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

190024452 is a wasteful number, since it uses less digits than its factorization.

190024452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 190024452 is about 13784.9356908184. The cubic root of 190024452 is about 574.9143685965.

The spelling of 190024452 in words is "one hundred ninety million, twenty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 331 333 431 444 662 666 862 993 1293 1324 1332 1724 1986 2586 2979 3879 3972 5172 5958 7758 11916 12247 15516 15947 24494 31894 36741 47841 48988 63788 73482 95682 110223 142661 143523 146964 191364 220446 285322 287046 427983 440892 570644 574092 855966 1283949 1711932 2567898 5135796 5278457 10556914 15835371 21113828 31670742 47506113 63341484 95012226 190024452