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10222331232 = 2532341112919
BaseRepresentation
bin10011000010100110…
…00110010101100000
3222101102010020020110
421201103012111200
5131413404044412
64410204011320
7511214244651
oct114123062540
928342106213
1010222331232
11437626a833
121b93530b40
13c6ba93009
146cd8b9528
153ec678d3c
hex2614c6560

10222331232 has 96 divisors (see below), whose sum is σ = 28683486720. Its totient is φ = 3179770880.

The previous prime is 10222331221. The next prime is 10222331233. The reversal of 10222331232 is 23213322201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10222331199 and 10222331208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222331233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34069 + ... + 146987.

It is an arithmetic number, because the mean of its divisors is an integer number (298786320).

Almost surely, 210222331232 is an apocalyptic number.

10222331232 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 10222331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341743360).

10222331232 is an abundant number, since it is smaller than the sum of its proper divisors (18461155488).

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

10222331232 is a wasteful number, since it uses less digits than its factorization.

10222331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112996 (or 112988 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10222331232 its reverse (23213322201), we get a palindrome (33435653433).

The spelling of 10222331232 in words is "ten billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 15088 22632 30176 45264 90528 112919 225838 338757 451676 677514 903352 1355028 1806704 2597137 2710056 3613408 4629679 5194274 5420112 7791411 9259358 10388548 10840224 13889037 15582822 18518716 20777096 27778074 31165644 37037432 41554192 55556148 62331288 74074864 83108384 106482617 111112296 124662576 148149728 212965234 222224592 249325152 319447851 425930468 444449184 638895702 851860936 1277791404 1703721872 2555582808 3407443744 5111165616 10222331232