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22022012000 = 255317930757
BaseRepresentation
bin10100100000100111…
…010011110001100000
32002211202022010021002
4110200213103301200
5330100113341000
614041120051132
71406504004422
oct244047236140
962752263232
1022022012000
11938094061a
124327163aa8
1320cc58b141
1410cca70812
1588d52a8d5
hex5209d3c60

22022012000 has 96 divisors (see below), whose sum is σ = 54412132320. Its totient is φ = 8759308800.

The previous prime is 22022011943. The next prime is 22022012003. The reversal of 22022012000 is 21022022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 700622 + ... + 731378.

It is an arithmetic number, because the mean of its divisors is an integer number (566793045).

Almost surely, 222022012000 is an apocalyptic number.

22022012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22022012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27206066160).

22022012000 is an abundant number, since it is smaller than the sum of its proper divisors (32390120320).

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

22022012000 is a wasteful number, since it uses less digits than its factorization.

22022012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30961 (or 30943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22022012000 its reverse (21022022), we get a palindrome (22043034022).

The spelling of 22022012000 in words is "twenty-two billion, twenty-two million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 179 200 250 358 400 500 716 800 895 1000 1432 1790 2000 2864 3580 4000 4475 5728 7160 8950 14320 17900 22375 28640 30757 35800 44750 61514 71600 89500 123028 143200 153785 179000 246056 307570 358000 492112 615140 716000 768925 984224 1230280 1537850 2460560 3075700 3844625 4921120 5505503 6151400 7689250 11011006 12302800 15378500 22022012 24605600 27527515 30757000 44044024 55055030 61514000 88088048 110110060 123028000 137637575 176176096 220220120 275275150 440440240 550550300 688187875 880880480 1101100600 1376375750 2202201200 2752751500 4404402400 5505503000 11011006000 22022012000