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10222302312 = 2332141976421
BaseRepresentation
bin10011000010100101…
…11111010001101000
3222101102001202120100
421201102333101220
5131413402133222
64410203225400
7511214064435
oct114122772150
928342052510
1010222302312
114376250032
121b93518260
13c6ba82ac1
146cd8acb8c
153ec6704ac
hex2614bf468

10222302312 has 24 divisors (see below), whose sum is σ = 27685402290. Its totient is φ = 3407434080.

The previous prime is 10222302301. The next prime is 10222302313. The reversal of 10222302312 is 21320322201.

It can be written as a sum of positive squares in only one way, i.e., 5999122116 + 4223180196 = 77454^2 + 64986^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222302313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70988139 + ... + 70988282.

Almost surely, 210222302312 is an apocalyptic number.

10222302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222302312 is an abundant number, since it is smaller than the sum of its proper divisors (17463099978).

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

10222302312 is a wasteful number, since it uses less digits than its factorization.

10222302312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141976433 (or 141976426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222302312 its reverse (21320322201), we get a palindrome (31542624513).

The spelling of 10222302312 in words is "ten billion, two hundred twenty-two million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 141976421 283952842 425929263 567905684 851858526 1135811368 1277787789 1703717052 2555575578 3407434104 5111151156 10222302312