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11206500228 = 223371110391297
BaseRepresentation
bin10100110111111010…
…11001111110000100
31001221000000012022000
422123331121332010
5140422331001403
65052002105300
7544464452220
oct123375317604
931830005260
1011206500228
114830860540
12220904b230
131097949531
147844a5780
15458c7e7a3
hex29bf59f84

11206500228 has 192 divisors, whose sum is σ = 36285849600. Its totient is φ = 2905735680.

The previous prime is 11206500211. The next prime is 11206500269. The reversal of 11206500228 is 82200560211.

It is a happy number.

11206500228 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 650 + 0 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8639676 + ... + 8640972.

It is an arithmetic number, because the mean of its divisors is an integer number (188988800).

Almost surely, 211206500228 is an apocalyptic number.

11206500228 is a gapful number since it is divisible by the number (18) 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 11206500228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142924800).

11206500228 is an abundant number, since it is smaller than the sum of its proper divisors (25079349372).

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

11206500228 is a wasteful number, since it uses less digits than its factorization.

11206500228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 11206500228 in words is "eleven billion, two hundred six million, five hundred thousand, two hundred twenty-eight".