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2186996812 = 2273111371157
BaseRepresentation
bin1000001001011010…
…1110110001001100
312122102012221121221
42002112232301030
513434332344222
61001002533124
7105124111000
oct20226566114
95572187557
102186996812
11a22559090
125105071a4
1328b12ab70
1416a654700
15cbeee0c7
hex825aec4c

2186996812 has 192 divisors, whose sum is σ = 5351270400. Its totient is φ = 770515200.

The previous prime is 2186996803. The next prime is 2186996821.

2186996812 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2186996803) and next prime (2186996821).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2186996812.

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, 13929838 + ... + 13929994.

It is an arithmetic number, because the mean of its divisors is an integer number (27871200).

Almost surely, 22186996812 is an apocalyptic number.

2186996812 is a gapful number since it is divisible by the number (22) 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 2186996812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675635200).

2186996812 is an abundant number, since it is smaller than the sum of its proper divisors (3164273588).

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

2186996812 is a wasteful number, since it uses less digits than its factorization.

2186996812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 261 counting only the distinct ones).

The product of its digits is 746496, while the sum is 52.

The square root of 2186996812 is about 46765.3377192980. The cubic root of 2186996812 is about 1298.0239825642.

The spelling of 2186996812 in words is "two billion, one hundred eighty-six million, nine hundred ninety-six thousand, eight hundred twelve".