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22201021312 = 272277271051
BaseRepresentation
bin10100101011010010…
…001011001110000000
32010022020010201212121
4110223102023032000
5330431430140222
614110552534024
71414106365441
oct245322131600
963266121777
1022201021312
1194629969a8
1243770b1314
13212a6a6102
14110874b2c8
1589e0da5c7
hex52b48b380

22201021312 has 64 divisors (see below), whose sum is σ = 44526867840. Its totient is φ = 11025907200.

The previous prime is 22201021301. The next prime is 22201021313. The reversal of 22201021312 is 21312010222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201021313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21123187 + ... + 21124237.

It is an arithmetic number, because the mean of its divisors is an integer number (695732310).

Almost surely, 222201021312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22263433920).

22201021312 is an abundant number, since it is smaller than the sum of its proper divisors (22325846528).

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

22201021312 is a wasteful number, since it uses less digits than its factorization.

22201021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22201021312 its reverse (21312010222), we get a palindrome (43513031534).

The spelling of 22201021312 in words is "twenty-two billion, two hundred one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 227 454 727 908 1051 1454 1816 2102 2908 3632 4204 5816 7264 8408 11632 14528 16816 23264 29056 33632 46528 67264 93056 134528 165029 238577 330058 477154 660116 764077 954308 1320232 1528154 1908616 2640464 3056308 3817232 5280928 6112616 7634464 10561856 12225232 15268928 21123712 24450464 30537856 48900928 97801856 173445479 346890958 693781916 1387563832 2775127664 5550255328 11100510656 22201021312