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8240022540 = 22335831571171
BaseRepresentation
bin1111010110010010…
…01100010000001100
3210021021001111221000
413223021030100030
5113333421210130
63441352140300
7411124015221
oct75311142014
923237044830
108240022540
113549306992
12171b697690
13a141a12a9
14582507948
1533360d260
hex1eb24c40c

8240022540 has 192 divisors, whose sum is σ = 26132037120. Its totient is φ = 2155196160.

The previous prime is 8240022523. The next prime is 8240022551. The reversal of 8240022540 is 452200428.

It is a happy number.

8240022540 is a `hidden beast` number, since 8 + 2 + 400 + 2 + 254 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7036155 + ... + 7037325.

It is an arithmetic number, because the mean of its divisors is an integer number (136104360).

Almost surely, 28240022540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8240022540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066018560).

8240022540 is an abundant number, since it is smaller than the sum of its proper divisors (17892014580).

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

8240022540 is a wasteful number, since it uses less digits than its factorization.

8240022540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 8240022540 is about 90774.5698970808. The cubic root of 8240022540 is about 2019.8051097797.

Adding to 8240022540 its reverse (452200428), we get a palindrome (8692222968).

The spelling of 8240022540 in words is "eight billion, two hundred forty million, twenty-two thousand, five hundred forty".