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6862985220 = 22357132313119
BaseRepresentation
bin1100110010001000…
…01101100000000100
3122201021220202211210
412121010031200010
5103023411011340
63053001331420
7332033261160
oct63104154004
918637822753
106862985220
112a01a81413
1213b6496b70
13854b02600
14491691ca0
152a27a2180
hex19910d804

6862985220 has 288 divisors, whose sum is σ = 24555847680. Its totient is φ = 1400855040.

The previous prime is 6862985209. The next prime is 6862985257. The reversal of 6862985220 is 225892686.

It is a super-2 number, since 2×68629852202 = 94201132259876896800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6862985220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2198821 + ... + 2201939.

It is an arithmetic number, because the mean of its divisors is an integer number (85263360).

Almost surely, 26862985220 is an apocalyptic number.

6862985220 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 6862985220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277923840).

6862985220 is an abundant number, since it is smaller than the sum of its proper divisors (17692862460).

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

6862985220 is a wasteful number, since it uses less digits than its factorization.

6862985220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 6862985220 is about 82843.1362274510. The cubic root of 6862985220 is about 1900.3679084411.

The spelling of 6862985220 in words is "six billion, eight hundred sixty-two million, nine hundred eighty-five thousand, two hundred twenty".