Search a number
-
+
22205670100 = 2252269382457
BaseRepresentation
bin10100101011100011…
…111010001011010100
32010022112212220210221
4110223203322023110
5330434122420400
614111240324124
71414164036655
oct245343721324
963275786727
1022205670100
119465581679
124378773644
13212b643083
1411091db52c
1589e707c1a
hex52b8fa2d4

22205670100 has 36 divisors (see below), whose sum is σ = 48204781884. Its totient is φ = 8878862080.

The previous prime is 22205670077. The next prime is 22205670103. The reversal of 22205670100 is 107650222.

It can be written as a sum of positive squares in 6 ways, for example, as 1262949444 + 20942720656 = 35538^2 + 144716^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22205670103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228072 + ... + 310528.

It is an arithmetic number, because the mean of its divisors is an integer number (1339021719).

Almost surely, 222205670100 is an apocalyptic number.

22205670100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22205670100 is an abundant number, since it is smaller than the sum of its proper divisors (25999111784).

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

22205670100 is a wasteful number, since it uses less digits than its factorization.

22205670100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85164 (or 85157 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The spelling of 22205670100 in words is "twenty-two billion, two hundred five million, six hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2693 5386 10772 13465 26930 53860 67325 82457 134650 164914 269300 329828 412285 824570 1649140 2061425 4122850 8245700 222056701 444113402 888226804 1110283505 2220567010 4441134020 5551417525 11102835050 22205670100