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2199137850 = 23752713217
BaseRepresentation
bin1000001100010100…
…0010111000111010
312200021001210000000
42003011002320322
514000434402400
61002115053430
7105332235420
oct20305027072
95607053000
102199137850
11a293a08a8
125145a1276
132907bc100
1416c0d5110
15cd0eb600
hex83142e3a

2199137850 has 576 divisors, whose sum is σ = 8038414080. Its totient is φ = 436700160.

The previous prime is 2199137839. The next prime is 2199137879. The reversal of 2199137850 is 587319912.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2199137796 and 2199137805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 129361042 + ... + 129361058.

It is an arithmetic number, because the mean of its divisors is an integer number (13955580).

Almost surely, 22199137850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2199137850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019207040).

2199137850 is an abundant number, since it is smaller than the sum of its proper divisors (5839276230).

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

2199137850 is a wasteful number, since it uses less digits than its factorization.

2199137850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 2199137850 is about 46894.9661477647. The cubic root of 2199137850 is about 1300.4215299692.

The spelling of 2199137850 in words is "two billion, one hundred ninety-nine million, one hundred thirty-seven thousand, eight hundred fifty".