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22413340240 = 2451739411721
BaseRepresentation
bin10100110111111100…
…000110111001010000
32010212000122122200121
4110313330012321100
5331400303341430
614144015400024
71422265151164
oct246774067120
963760578617
1022413340240
119561823295
124416223014
132162684605
141128a18ca4
158b2a79a7a
hex537f06e50

22413340240 has 80 divisors (see below), whose sum is σ = 52498421136. Its totient is φ = 8898867200.

The previous prime is 22413340231. The next prime is 22413340247. The reversal of 22413340240 is 4204331422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2694440464 + 19718899776 = 51908^2 + 140424^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413340247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13022580 + ... + 13024300.

Almost surely, 222413340240 is an apocalyptic number.

22413340240 is a gapful number since it is divisible by the number (20) 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 22413340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26249210568).

22413340240 is an abundant number, since it is smaller than the sum of its proper divisors (30085080896).

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

22413340240 is a wasteful number, since it uses less digits than its factorization.

22413340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2848 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 22413340240 its reverse (4204331422), we get a palindrome (26617671662).

The spelling of 22413340240 in words is "twenty-two billion, four hundred thirteen million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 941 1384 1721 1730 1882 2768 3442 3460 3764 4705 6884 6920 7528 8605 9410 13768 13840 15056 17210 18820 27536 34420 37640 68840 75280 137680 162793 297733 325586 595466 651172 813965 1190932 1302344 1488665 1619461 1627930 2381864 2604688 2977330 3238922 3255860 4763728 5954660 6477844 6511720 8097305 11909320 12955688 13023440 16194610 23818640 25911376 32389220 64778440 129556880 280166753 560333506 1120667012 1400833765 2241334024 2801667530 4482668048 5603335060 11206670120 22413340240