Search a number
-
+
223006484448 = 253311193473559
BaseRepresentation
bin1100111110110000111…
…0001110011111100000
3210022121201001012002000
43033230032032133200
512123204130000243
6250240414524000
722053210561456
oct3175416163740
9708551035060
10223006484448
118663838a510
1237278506600
131804c83b997
14ab177ba9d6
155c031155d3
hex33ec38e7e0

223006484448 has 384 divisors, whose sum is σ = 749274624000. Its totient is φ = 63818565120.

The previous prime is 223006484443. The next prime is 223006484489. The reversal of 223006484448 is 844484600322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223006484443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62658093 + ... + 62661651.

It is an arithmetic number, because the mean of its divisors is an integer number (1951236000).

Almost surely, 2223006484448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223006484448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374637312000).

223006484448 is an abundant number, since it is smaller than the sum of its proper divisors (526268139552).

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

223006484448 is a wasteful number, since it uses less digits than its factorization.

223006484448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 223006484448 in words is "two hundred twenty-three billion, six million, four hundred eighty-four thousand, four hundred forty-eight".