Search a number
-
+
5183220900 = 223521113196359
BaseRepresentation
bin1001101001111000…
…11010110010100100
3111101020010220101110
410310330122302210
541103401032100
62214154225020
7242305436124
oct46474326244
914336126343
105183220900
11221a87a640
121007a25170
13647abc820
14372556c84
15205099250
hex134f1aca4

5183220900 has 288 divisors, whose sum is σ = 18548812800. Its totient is φ = 1098662400.

The previous prime is 5183220877. The next prime is 5183220929. The reversal of 5183220900 is 90223815.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811921 + ... + 818279.

It is an arithmetic number, because the mean of its divisors is an integer number (64405600).

Almost surely, 25183220900 is an apocalyptic number.

5183220900 is a gapful number since it is divisible by the number (50) 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 5183220900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9274406400).

5183220900 is an abundant number, since it is smaller than the sum of its proper divisors (13365591900).

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

5183220900 is a wasteful number, since it uses less digits than its factorization.

5183220900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 5183220900 is about 71994.5893800361. The cubic root of 5183220900 is about 1730.6127781238.

The spelling of 5183220900 in words is "five billion, one hundred eighty-three million, two hundred twenty thousand, nine hundred".