Search a number
-
+
22042446600 = 2335237992903
BaseRepresentation
bin10100100001110101…
…010000101100001000
32002220011202022021010
4110201311100230020
5330120331242400
614043130043520
71410142463466
oct244165205410
962804668233
1022042446600
119391428419
124331b795a0
132103894315
1410d166d836
15890215450
hex521d50b08

22042446600 has 96 divisors (see below), whose sum is σ = 70178454720. Its totient is φ = 5719115520.

The previous prime is 22042446599. The next prime is 22042446617. The reversal of 22042446600 is 664424022.

It is a super-2 number, since 2×220424466002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 474252 + ... + 518651.

It is an arithmetic number, because the mean of its divisors is an integer number (731025570).

Almost surely, 222042446600 is an apocalyptic number.

22042446600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22042446600 is an abundant number, since it is smaller than the sum of its proper divisors (48136008120).

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

22042446600 is a wasteful number, since it uses less digits than its factorization.

22042446600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992959 (or 992950 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22042446600 in words is "twenty-two billion, forty-two million, four hundred forty-six thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 992903 1985806 2978709 3971612 4964515 5957418 7943224 9929030 11914836 14893545 19858060 23829672 24822575 29787090 36737411 39716120 49645150 59574180 73474822 74467725 99290300 110212233 119148360 146949644 148935450 183687055 198580600 220424466 293899288 297870900 367374110 440848932 551061165 595741800 734748220 881697864 918435275 1102122330 1469496440 1836870550 2204244660 2755305825 3673741100 4408489320 5510611650 7347482200 11021223300 22042446600