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6225879240 = 2333572711657
BaseRepresentation
bin1011100110001011…
…10110000011001000
3121001220002102202000
411303011312003020
5100222311113430
62505442111000
7310166046300
oct56305660310
917056072660
106225879240
11270538a249
12125904b460
13782b14519
14430c0a600
152668a4e60
hex1731760c8

6225879240 has 384 divisors, whose sum is σ = 24495955200. Its totient is φ = 1402168320.

The previous prime is 6225879229. The next prime is 6225879323. The reversal of 6225879240 is 429785226.

6225879240 is a `hidden beast` number, since 6 + 22 + 587 + 9 + 2 + 40 = 666.

It is a super-2 number, since 2×62258792402 = 77523144622125955200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3756492 + ... + 3758148.

It is an arithmetic number, because the mean of its divisors is an integer number (63791550).

Almost surely, 26225879240 is an apocalyptic number.

6225879240 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 6225879240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247977600).

6225879240 is an abundant number, since it is smaller than the sum of its proper divisors (18270075960).

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

6225879240 is a wasteful number, since it uses less digits than its factorization.

6225879240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6225879240 is about 78904.2409506612. The cubic root of 6225879240 is about 1839.6430506386.

The spelling of 6225879240 in words is "six billion, two hundred twenty-five million, eight hundred seventy-nine thousand, two hundred forty".