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6222284640 = 25325112134167
BaseRepresentation
bin1011100101110000…
…01000011101100000
3121001122022210212200
411302320020131200
5100220401102030
62505233053200
7310123355355
oct56270103540
917048283780
106222284640
112703354600
1212579b7200
13782156340
1443055262c
152663e4d60
hex172e08760

6222284640 has 864 divisors, whose sum is σ = 26132023008. Its totient is φ = 1338163200.

The previous prime is 6222284623. The next prime is 6222284647. The reversal of 6222284640 is 464822226.

6222284640 is a `hidden beast` number, since 6 + 2 + 2 + 2 + 2 + 8 + 4 + 640 = 666.

It is a super-2 number, since 2×62222846402 = 77433652282359859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6222284595 and 6222284604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6222284647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92869887 + ... + 92869953.

It is an arithmetic number, because the mean of its divisors is an integer number (30245397).

Almost surely, 26222284640 is an apocalyptic number.

6222284640 is a gapful number since it is divisible by the number (60) 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 6222284640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066011504).

6222284640 is an abundant number, since it is smaller than the sum of its proper divisors (19909738368).

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

6222284640 is a wasteful number, since it uses less digits than its factorization.

6222284640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6222284640 is about 78881.4594185478. The cubic root of 6222284640 is about 1839.2889344448.

The spelling of 6222284640 in words is "six billion, two hundred twenty-two million, two hundred eighty-four thousand, six hundred forty".