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10222223232 = 273132672351
BaseRepresentation
bin10011000010100101…
…01011111110000000
3222101101220202002110
421201102223332000
5131413342120412
64410201415320
7511213315044
oct114122537600
928341822073
1010222223232
1143761a6681
121b9349a540
13c6ba55b00
146cd88c024
153ec656d3c
hex2614abf80

10222223232 has 192 divisors, whose sum is σ = 29853653760. Its totient is φ = 3097036800.

The previous prime is 10222223227. The next prime is 10222223273. The reversal of 10222223232 is 23232222201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10222223199 and 10222223208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4346857 + ... + 4349207.

It is an arithmetic number, because the mean of its divisors is an integer number (155487780).

Almost surely, 210222223232 is an apocalyptic number.

10222223232 is a gapful number since it is divisible by the number (12) 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 10222223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926826880).

10222223232 is an abundant number, since it is smaller than the sum of its proper divisors (19631430528).

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

10222223232 is a wasteful number, since it uses less digits than its factorization.

10222223232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10222223232 its reverse (23232222201), we get a palindrome (33454445433).

The spelling of 10222223232 in words is "ten billion, two hundred twenty-two million, two hundred twenty-three thousand, two hundred thirty-two".