Search a number
-
+
22204081152 = 210331173009
BaseRepresentation
bin10100101011011101…
…110110010000000000
32010022102220012012000
4110223131312100000
5330433221044102
614111142304000
71414144401321
oct245335662000
963272805160
1022204081152
1194646968a0
124378128000
13212b207a76
141108d06448
1589e4e201c
hex52b776400

22204081152 has 176 divisors, whose sum is σ = 71736705600. Its totient is φ = 6728417280.

The previous prime is 22204081147. The next prime is 22204081177. The reversal of 22204081152 is 25118040222.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267624 + ... + 340632.

Almost surely, 222204081152 is an apocalyptic number.

22204081152 is a gapful number since it is divisible by the number (22) 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 22204081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35868352800).

22204081152 is an abundant number, since it is smaller than the sum of its proper divisors (49532624448).

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

22204081152 is a wasteful number, since it uses less digits than its factorization.

22204081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73049 (or 73025 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 22204081152 in words is "twenty-two billion, two hundred four million, eighty-one thousand, one hundred fifty-two".