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22130136 = 23327192311
BaseRepresentation
bin101010001101…
…0110111011000
31112122022211200
41110122313120
521131131021
62110154200
7356050230
oct124326730
945568750
1022130136
1111545776
1274b2960
13477ab72
142d20cc0
151e22126
hex151add8

22130136 has 96 divisors (see below), whose sum is σ = 72134400. Its totient is φ = 5987520.

The previous prime is 22130113. The next prime is 22130137. The reversal of 22130136 is 63103122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130137) 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, 8421 + ... + 10731.

It is an arithmetic number, because the mean of its divisors is an integer number (751400).

Almost surely, 222130136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22130136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36067200).

22130136 is an abundant number, since it is smaller than the sum of its proper divisors (50004264).

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

22130136 is a wasteful number, since it uses less digits than its factorization.

22130136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 22130136 is about 4704.2678495171. The cubic root of 22130136 is about 280.7553414746.

Adding to 22130136 its reverse (63103122), we get a palindrome (85233258).

The spelling of 22130136 in words is "twenty-two million, one hundred thirty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2311 2394 3192 4622 4788 6933 9244 9576 13866 16177 18488 20799 27732 32354 41598 43909 48531 55464 64708 83196 87818 97062 129416 131727 145593 166392 175636 194124 263454 291186 307363 351272 388248 395181 526908 582372 614726 790362 922089 1053816 1164744 1229452 1580724 1844178 2458904 2766267 3161448 3688356 5532534 7376712 11065068 22130136