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10002022296 = 2337274311447
BaseRepresentation
bin10010101000010101…
…01011111110011000
3221211001120101012020
421110022223332120
5130441004203141
64332254014440
7502600533600
oct112412537630
927731511166
1010002022296
114272976432
121b317a7420
13c35247ab6
146ac52bc00
153d815c266
hex2542abf98

10002022296 has 96 divisors (see below), whose sum is σ = 29129207040. Its totient is φ = 2853625152.

The previous prime is 10002022279. The next prime is 10002022307. The reversal of 10002022296 is 69222020001.

10002022296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100020222962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868045 + ... + 879491.

It is an arithmetic number, because the mean of its divisors is an integer number (303429240).

Almost surely, 210002022296 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 10002022296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564603520).

10002022296 is an abundant number, since it is smaller than the sum of its proper divisors (19127184744).

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

10002022296 is a wasteful number, since it uses less digits than its factorization.

10002022296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12213 (or 12202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10002022296 its reverse (69222020001), we get a palindrome (79224042297).

The spelling of 10002022296 in words is "ten billion, two million, twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 743 1176 1486 2229 2972 4458 5201 5944 8916 10402 11447 15603 17832 20804 22894 31206 34341 36407 41608 45788 62412 68682 72814 80129 91576 109221 124824 137364 145628 160258 218442 240387 274728 291256 320516 436884 480774 560903 641032 873768 961548 1121806 1682709 1923096 2243612 3365418 4487224 6730836 8505121 13461672 17010242 25515363 34020484 51030726 59535847 68040968 102061452 119071694 178607541 204122904 238143388 357215082 416750929 476286776 714430164 833501858 1250252787 1428860328 1667003716 2500505574 3334007432 5001011148 10002022296