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22100130 = 23251321453
BaseRepresentation
bin101010001001…
…1100010100010
31112120210200100
41110103202202
521124201010
62105403230
7355563603
oct124234242
945523610
1022100130
1111525178
127499516
13476a300
142d13daa
151e182c0
hex15138a2

22100130 has 72 divisors (see below), whose sum is σ = 62263188. Its totient is φ = 5436288.

The previous prime is 22100129. The next prime is 22100131. The reversal of 22100130 is 3100122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22100129) and next prime (22100131).

It can be written as a sum of positive squares in 6 ways, for example, as 7834401 + 14265729 = 2799^2 + 3777^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (22100131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14484 + ... + 15936.

Almost surely, 222100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31131594).

22100130 is an abundant number, since it is smaller than the sum of its proper divisors (40163058).

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

22100130 is a wasteful number, since it uses less digits than its factorization.

22100130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 22100130 is about 4701.0775360549. The cubic root of 22100130 is about 280.6283930886.

Adding to 22100130 its reverse (3100122), we get a palindrome (25200252).

The spelling of 22100130 in words is "twenty-two million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 507 585 845 1014 1170 1453 1521 1690 2535 2906 3042 4359 5070 7265 7605 8718 13077 14530 15210 18889 21795 26154 37778 43590 56667 65385 94445 113334 130770 170001 188890 245557 283335 340002 491114 566670 736671 850005 1227785 1473342 1700010 2210013 2455570 3683355 4420026 7366710 11050065 22100130