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22343220240 = 243511193114369
BaseRepresentation
bin10100110011110000…
…100111110000010000
32010200010201012010120
4110303300213300100
5331224331021430
614133032430240
71420454144535
oct246360476020
963603635116
1022343220240
119526190080
1243b6848380
132150ca32a3
14111d5a4d8c
158ab828610
hex533c27c10

22343220240 has 320 divisors, whose sum is σ = 82109030400. Its totient is φ = 4965580800.

The previous prime is 22343220227. The next prime is 22343220281. The reversal of 22343220240 is 4202234322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22343220240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1547776 + ... + 1562144.

It is an arithmetic number, because the mean of its divisors is an integer number (256590720).

Almost surely, 222343220240 is an apocalyptic number.

22343220240 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 22343220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41054515200).

22343220240 is an abundant number, since it is smaller than the sum of its proper divisors (59765810160).

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

22343220240 is a wasteful number, since it uses less digits than its factorization.

22343220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14440 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22343220240 its reverse (4202234322), we get a palindrome (26545454562).

The spelling of 22343220240 in words is "twenty-two billion, three hundred forty-three million, two hundred twenty thousand, two hundred forty".