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2198889792 = 2632112379191
BaseRepresentation
bin1000001100010000…
…0110010101000000
312200020121011201200
42003010012111000
514000403433132
61002105501200
7105330153261
oct20304062500
95606534650
102198889792
11a292414a0
125144a1800
13290733228
1416c06c968
15cd09cd7c
hex83106540

2198889792 has 336 divisors, whose sum is σ = 7303495680. Its totient is φ = 625996800.

The previous prime is 2198889757. The next prime is 2198889827. The reversal of 2198889792 is 2979888912.

It is an interprime number because it is at equal distance from previous prime (2198889757) and next prime (2198889827).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11512417 + ... + 11512607.

Almost surely, 22198889792 is an apocalyptic number.

2198889792 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 2198889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651747840).

2198889792 is an abundant number, since it is smaller than the sum of its proper divisors (5104605888).

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

2198889792 is a wasteful number, since it uses less digits than its factorization.

2198889792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 63.

The square root of 2198889792 is about 46892.3212477267. The cubic root of 2198889792 is about 1300.3726332173.

The spelling of 2198889792 in words is "two billion, one hundred ninety-eight million, eight hundred eighty-nine thousand, seven hundred ninety-two".