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22422104040400 = 2452531057646417
BaseRepresentation
bin1010001100100100011011…
…00010111110001111010000
32221101112100222112022200121
411012102031202332033100
510414330432113243100
6115404323345400024
74502641432460311
oct506221542761720
987345328468617
1022422104040400
1171651852079a9
122621679339014
13c6851a734c8c
145773427b4608
1528d3b508c51a
hex14648d8be3d0

22422104040400 has 60 divisors (see below), whose sum is σ = 54885503215692. Its totient is φ = 8799618181120.

The previous prime is 22422104040377. The next prime is 22422104040409. The reversal of 22422104040400 is 404040122422.

It can be written as a sum of positive squares in 6 ways, for example, as 2779409128336 + 19642694912064 = 1667156^2 + 4432008^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22422104040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 528802009 + ... + 528844408.

Almost surely, 222422104040400 is an apocalyptic number.

22422104040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22422104040400 is an abundant number, since it is smaller than the sum of its proper divisors (32463399175292).

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

22422104040400 is a wasteful number, since it uses less digits than its factorization.

22422104040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057646488 (or 1057646477 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 22422104040400 its reverse (404040122422), we get a palindrome (22826144162822).

The spelling of 22422104040400 in words is "twenty-two trillion, four hundred twenty-two billion, one hundred four million, forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 21200 1057646417 2115292834 4230585668 5288232085 8461171336 10576464170 16922342672 21152928340 26441160425 42305856680 52882320850 56055260101 84611713360 105764641700 112110520202 211529283400 224221040404 280276300505 423058566800 448442080808 560552601010 896884161616 1121105202020 1401381502525 2242210404040 2802763005050 4484420808080 5605526010100 11211052020200 22422104040400