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10022330144 = 2517163113027
BaseRepresentation
bin10010101010110000…
…01001111100100000
3221212110210010022202
421111120021330200
5131011204031034
64334301152332
7503235254261
oct112530117440
927773703282
1010022330144
114283386a82
121b3855b6a8
13c39508388
146b10d6968
153d9d1e47e
hex255609f20

10022330144 has 48 divisors (see below), whose sum is σ = 21020495328. Its totient is φ = 4687414272.

The previous prime is 10022330141. The next prime is 10022330167. The reversal of 10022330144 is 44103322001.

It is not an unprimeable number, because it can be changed into a prime (10022330141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32159 + ... + 145185.

It is an arithmetic number, because the mean of its divisors is an integer number (437926986).

Almost surely, 210022330144 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 10022330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10510247664).

10022330144 is an abundant number, since it is smaller than the sum of its proper divisors (10998165184).

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

10022330144 is a wasteful number, since it uses less digits than its factorization.

10022330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113217 (or 113209 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10022330144 its reverse (44103322001), we get a palindrome (54125652145).

The spelling of 10022330144 in words is "ten billion, twenty-two million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 272 326 544 652 1304 2608 2771 5216 5542 11084 22168 44336 88672 113027 226054 452108 904216 1808432 1921459 3616864 3842918 7685836 15371672 18423401 30743344 36846802 61486688 73693604 147387208 294774416 313197817 589548832 626395634 1252791268 2505582536 5011165072 10022330144