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10024220440 = 2351326971663
BaseRepresentation
bin10010101010111110…
…10111011100011000
3221212121100011022201
421111133113130120
5131012200023230
64334405455544
7503260316323
oct112537273430
927777304281
1010024220440
114284458203
121b391115b4
13c39a1a8b0
146b14697ba
153da0945ca
hex2557d7718

10024220440 has 64 divisors (see below), whose sum is σ = 24380092800. Its totient is φ = 3687439872.

The previous prime is 10024220399. The next prime is 10024220447. The reversal of 10024220440 is 4402242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024220447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104049 + ... + 175711.

It is an arithmetic number, because the mean of its divisors is an integer number (380938950).

Almost surely, 210024220440 is an apocalyptic number.

10024220440 is a gapful number since it is divisible by the number (10) 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 10024220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190046400).

10024220440 is an abundant number, since it is smaller than the sum of its proper divisors (14355872360).

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

10024220440 is a wasteful number, since it uses less digits than its factorization.

10024220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71956 (or 71952 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 10024220440 its reverse (4402242001), we get a palindrome (14426462441).

The spelling of 10024220440 in words is "ten billion, twenty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 269 520 538 1076 1345 2152 2690 3497 5380 6994 10760 13988 17485 27976 34970 69940 71663 139880 143326 286652 358315 573304 716630 931619 1433260 1863238 2866520 3726476 4658095 7452952 9316190 18632380 19277347 37264760 38554694 77109388 96386735 154218776 192773470 250605511 385546940 501211022 771093880 1002422044 1253027555 2004844088 2506055110 5012110220 10024220440