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22412041040 = 2452153130121
BaseRepresentation
bin10100110111110111…
…001001101101010000
32010211221012122112002
4110313313021231100
5331344440303130
614143531453132
71422251130344
oct246767115520
963757178462
1022412041040
119561016174
1244158b71a8
13216231b15c
14112879b624
158b28beb45
hex537dc9b50

22412041040 has 40 divisors (see below), whose sum is σ = 52132598568. Its totient is φ = 8960583680.

The previous prime is 22412041021. The next prime is 22412041079. The reversal of 22412041040 is 4014021422.

It can be written as a sum of positive squares in 4 ways, for example, as 1723246144 + 20688794896 = 41512^2 + 143836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107180 + ... + 237300.

Almost surely, 222412041040 is an apocalyptic number.

22412041040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22412041040 is an abundant number, since it is smaller than the sum of its proper divisors (29720557528).

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

22412041040 is a wasteful number, since it uses less digits than its factorization.

22412041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132287 (or 132281 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22412041040 its reverse (4014021422), we get a palindrome (26426062462).

The spelling of 22412041040 in words is "twenty-two billion, four hundred twelve million, forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2153 4306 8612 10765 17224 21530 34448 43060 86120 130121 172240 260242 520484 650605 1040968 1301210 2081936 2602420 5204840 10409680 280150513 560301026 1120602052 1400752565 2241204104 2801505130 4482408208 5603010260 11206020520 22412041040