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22125523400145 = 3351131480623947
BaseRepresentation
bin1010000011111011111111…
…11101100111010111010001
32220100011211202201202201000
411001331333331213113101
510400001032442301040
6115020154121132213
74442342044563534
oct501757775472721
986304752652630
1022125523400145
11706042216a250
1225940a902a069
13c4657414a079
14566c4983ca1b
15285807bac130
hex141f7ff675d1

22125523400145 has 64 divisors (see below), whose sum is σ = 44294303047680. Its totient is φ = 10381477233600.

The previous prime is 22125523400129. The next prime is 22125523400203. The reversal of 22125523400145 is 54100432552122.

22125523400145 is a `hidden beast` number, since 2 + 2 + 125 + 52 + 340 + 0 + 145 = 666.

It is not a de Polignac number, because 22125523400145 - 24 = 22125523400129 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240265939 + ... + 240358008.

It is an arithmetic number, because the mean of its divisors is an integer number (692098485120).

Almost surely, 222125523400145 is an apocalyptic number.

It is an amenable number.

22125523400145 is an abundant number, since it is smaller than the sum of its proper divisors (22168779647535).

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

22125523400145 is a wasteful number, since it uses less digits than its factorization.

22125523400145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480624003 (or 480623997 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 22125523400145 its reverse (54100432552122), we get a palindrome (76225955952267).

The spelling of 22125523400145 in words is "twenty-two trillion, one hundred twenty-five billion, five hundred twenty-three million, four hundred thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 1023 1395 1485 1705 3069 4185 5115 9207 15345 46035 480623947 1441871841 2403119735 4325615523 5286863417 7209359205 12976846569 14899342357 15860590251 21628077615 26434317085 44698027071 47581770753 64884232845 74496711785 79302951255 134094081213 142745312259 163892765927 223490135355 237908853765 402282243639 491678297781 670470406065 713726561295 819463829635 1475034893343 2011411218195 2458391488905 4425104680029 7375174466715 22125523400145