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2219050680 = 23357113161127
BaseRepresentation
bin1000010001000100…
…0000011010111000
312201122112110021020
42010101000122320
514021034110210
61004105542440
7105663422340
oct20421003270
95648473236
102219050680
11a39661690
1251b1a4a20
13294971952
141709d9d20
15cec31770
hex844406b8

2219050680 has 512 divisors, whose sum is σ = 8776581120. Its totient is φ = 435456000.

The previous prime is 2219050663. The next prime is 2219050697. The reversal of 2219050680 is 860509122.

It is an interprime number because it is at equal distance from previous prime (2219050663) and next prime (2219050697).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17472777 + ... + 17472903.

It is an arithmetic number, because the mean of its divisors is an integer number (17141760).

Almost surely, 22219050680 is an apocalyptic number.

2219050680 is a gapful number since it is divisible by the number (20) 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 2219050680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388290560).

2219050680 is an abundant number, since it is smaller than the sum of its proper divisors (6557530440).

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

2219050680 is a wasteful number, since it uses less digits than its factorization.

2219050680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2219050680 is about 47106.8007829018. The cubic root of 2219050680 is about 1304.3347764163.

The spelling of 2219050680 in words is "two billion, two hundred nineteen million, fifty thousand, six hundred eighty".