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2093156208 = 24331113311093
BaseRepresentation
bin111110011000011…
…0000011101110000
312101212122100112000
41330300300131300
513241321444313
6543411334000
7102604351143
oct17460603560
95355570460
102093156208
11984594270
124a4bb1300
13274862a90
1415bdc805a
15c3b64673
hex7cc30770

2093156208 has 320 divisors, whose sum is σ = 7292866560. Its totient is φ = 566092800.

The previous prime is 2093156173. The next prime is 2093156243. The reversal of 2093156208 is 8026513902.

2093156208 is a `hidden beast` number, since 2 + 0 + 93 + 1 + 562 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2093156173) and next prime (2093156243).

It is a super-2 number, since 2×20931562082 = 8762605822177878528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1914510 + ... + 1915602.

It is an arithmetic number, because the mean of its divisors is an integer number (22790208).

Almost surely, 22093156208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2093156208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646433280).

2093156208 is an abundant number, since it is smaller than the sum of its proper divisors (5199710352).

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

2093156208 is a wasteful number, since it uses less digits than its factorization.

2093156208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2093156208 is about 45751.0241196850. The cubic root of 2093156208 is about 1279.1865371758.

The spelling of 2093156208 in words is "two billion, ninety-three million, one hundred fifty-six thousand, two hundred eight".