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10022400240 = 243541760001
BaseRepresentation
bin10010101010110000…
…11011000011110000
3221212110220200110220
421111120123003300
5131011213301430
64334302453040
7503235665526
oct112530330360
927773820426
1010022400240
114283424706
121b38594180
13c39531258
146b1114316
153d9d35110
hex25561b0f0

10022400240 has 40 divisors (see below), whose sum is σ = 31069441488. Its totient is φ = 2672640000.

The previous prime is 10022400229. The next prime is 10022400251. The reversal of 10022400240 is 4200422001.

It is an interprime number because it is at equal distance from previous prime (10022400229) and next prime (10022400251).

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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20879761 + ... + 20880240.

Almost surely, 210022400240 is an apocalyptic number.

10022400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022400240 is an abundant number, since it is smaller than the sum of its proper divisors (21047041248).

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

10022400240 is a wasteful number, since it uses less digits than its factorization.

10022400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41760017 (or 41760011 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 10022400240 its reverse (4200422001), we get a palindrome (14222822241).

The spelling of 10022400240 in words is "ten billion, twenty-two million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 41760001 83520002 125280003 167040004 208800005 250560006 334080008 417600010 501120012 626400015 668160016 835200020 1002240024 1252800030 1670400040 2004480048 2505600060 3340800080 5011200120 10022400240