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22225113100 = 225213912291301
BaseRepresentation
bin10100101100101110…
…000101000000001100
32010100220110201121001
4110230232011000030
5331004112104400
614113213150044
71414521226051
oct245456050014
963326421531
1022225113100
119475551473
12438318b324
13213268cac8
14110ba1d028
158a1298a6a
hex52cb8500c

22225113100 has 72 divisors (see below), whose sum is σ = 48652354800. Its totient is φ = 8812128000.

The previous prime is 22225113041. The next prime is 22225113103. The reversal of 22225113100 is 131152222.

It is a super-2 number, since 2×222251131002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22225113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17082450 + ... + 17083750.

It is an arithmetic number, because the mean of its divisors is an integer number (675727150).

Almost surely, 222225113100 is an apocalyptic number.

22225113100 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 22225113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24326177400).

22225113100 is an abundant number, since it is smaller than the sum of its proper divisors (26427241700).

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

22225113100 is a wasteful number, since it uses less digits than its factorization.

22225113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 22225113100 its reverse (131152222), we get a palindrome (22356265322).

The spelling of 22225113100 in words is "twenty-two billion, two hundred twenty-five million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1229 1301 1390 2458 2602 2780 3475 4916 5204 6145 6505 6950 12290 13010 13900 24580 26020 30725 32525 61450 65050 122900 130100 170831 180839 341662 361678 683324 723356 854155 904195 1598929 1708310 1808390 3197858 3416620 3616780 4270775 4520975 6395716 7994645 8541550 9041950 15989290 17083100 18083900 31978580 39973225 79946450 159892900 222251131 444502262 889004524 1111255655 2222511310 4445022620 5556278275 11112556550 22225113100