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10022403440 = 245717897149
BaseRepresentation
bin10010101010110000…
…11011110101110000
3221212110220211212102
421111120123311300
5131011213402230
64334302515532
7503236011050
oct112530336560
927773824772
1010022403440
114283427055
121b38595ba8
13c3953284a
146b1115560
153d9d36045
hex25561bd70

10022403440 has 40 divisors (see below), whose sum is σ = 26630959200. Its totient is φ = 3436252416.

The previous prime is 10022403427. The next prime is 10022403463. The reversal of 10022403440 is 4430422001.

10022403440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 8948015 + ... + 8949134.

It is an arithmetic number, because the mean of its divisors is an integer number (665773980).

Almost surely, 210022403440 is an apocalyptic number.

10022403440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022403440 is an abundant number, since it is smaller than the sum of its proper divisors (16608555760).

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

10022403440 is a wasteful number, since it uses less digits than its factorization.

10022403440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17897169 (or 17897163 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10022403440 its reverse (4430422001), we get a palindrome (14452825441).

The spelling of 10022403440 in words is "ten billion, twenty-two million, four hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 17897149 35794298 71588596 89485745 125280043 143177192 178971490 250560086 286354384 357942980 501120172 626400215 715885960 1002240344 1252800430 1431771920 2004480688 2505600860 5011201720 10022403440