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10022331444 = 2232987732839
BaseRepresentation
bin10010101010110000…
…01010010000110100
3221212110210012002220
421111120022100310
5131011204101234
64334301202340
7503235261126
oct112530122064
927773705086
1010022331444
114283387a54
121b385603b0
13c39508b48
146b10d7216
153d9d1ea49
hex25560a434

10022331444 has 48 divisors (see below), whose sum is σ = 24220156800. Its totient is φ = 3221801856.

The previous prime is 10022331437. The next prime is 10022331493. The reversal of 10022331444 is 44413322001.

It is a super-2 number, since 2×100223314442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 288777 + ... + 321615.

It is an arithmetic number, because the mean of its divisors is an integer number (504586600).

Almost surely, 210022331444 is an apocalyptic number.

It is an amenable number.

10022331444 is an abundant number, since it is smaller than the sum of its proper divisors (14197825356).

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

10022331444 is a wasteful number, since it uses less digits than its factorization.

10022331444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33752 (or 33750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10022331444 its reverse (44413322001), we get a palindrome (54435653445).

The spelling of 10022331444 in words is "ten billion, twenty-two million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 877 1754 2631 3508 5262 10524 25433 32839 50866 65678 76299 98517 101732 131356 152598 197034 305196 394068 952331 1904662 2856993 3809324 5713986 11427972 28799803 57599606 86399409 115199212 172798818 345597636 835194287 1670388574 2505582861 3340777148 5011165722 10022331444