Search a number
-
+
22201530000 = 2435413229151
BaseRepresentation
bin10100101011010100…
…000111011010010000
32010022021002120122220
4110223110013122100
5330432042430000
614111011501040
71414113614466
oct245324073220
963267076586
1022201530000
119463204101
1243772b7780
13212a823800
141108840836
1589e18b1a0
hex52b507690

22201530000 has 600 divisors, whose sum is σ = 80814381120. Its totient is φ = 5241600000.

The previous prime is 22201529981. The next prime is 22201530023. The reversal of 22201530000 is 3510222.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147029925 + ... + 147030075.

Almost surely, 222201530000 is an apocalyptic number.

22201530000 is a gapful number since it is divisible by the number (20) 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 22201530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40407190560).

22201530000 is an abundant number, since it is smaller than the sum of its proper divisors (58612851120).

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

22201530000 is a wasteful number, since it uses less digits than its factorization.

22201530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The spelling of 22201530000 in words is "twenty-two billion, two hundred one million, five hundred thirty thousand".