Search a number
-
+
22220233100 = 225213131130477
BaseRepresentation
bin10100101100011011…
…011101100110001100
32010100120021210111022
4110230123131212030
5331001334424400
614112520413312
71414431602462
oct245433354614
963316253438
1022220233100
11947281900a
124381617238
132131671830
14110b10c832
158a0b32b85
hex52c6dd98c

22220233100 has 72 divisors (see below), whose sum is σ = 52323765648. Its totient is φ = 8141702400.

The previous prime is 22220233097. The next prime is 22220233111. The reversal of 22220233100 is 133202222.

It is a super-2 number, since 2×222202331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105062 + ... + 235538.

Almost surely, 222220233100 is an apocalyptic number.

22220233100 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 22220233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26161882824).

22220233100 is an abundant number, since it is smaller than the sum of its proper divisors (30103532548).

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

22220233100 is a wasteful number, since it uses less digits than its factorization.

22220233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130635 (or 130628 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 22220233100 its reverse (133202222), we get a palindrome (22353435322).

The spelling of 22220233100 in words is "twenty-two billion, two hundred twenty million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 131 260 262 325 524 650 655 1300 1310 1703 2620 3275 3406 6550 6812 8515 13100 17030 34060 42575 85150 130477 170300 260954 521908 652385 1304770 1696201 2609540 3261925 3392402 6523850 6784804 8481005 13047700 16962010 17092487 33924020 34184974 42405025 68369948 84810050 85462435 169620100 170924870 222202331 341849740 427312175 444404662 854624350 888809324 1111011655 1709248700 2222023310 4444046620 5555058275 11110116550 22220233100