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2246056020 = 22335133110321
BaseRepresentation
bin1000010111100000…
…0001100001010100
312210112100110122000
42011320001201110
514044442243040
61010512435300
7106442106165
oct20570014124
95715313560
102246056020
11a5292714a
12528248b30
1329a438840
1417442976c
15d22b8130
hex85e01854

2246056020 has 192 divisors, whose sum is σ = 7768750080. Its totient is φ = 534988800.

The previous prime is 2246056019. The next prime is 2246056037. The reversal of 2246056020 is 206506422.

2246056020 is a `hidden beast` number, since 2 + 24 + 60 + 560 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 212460 + ... + 222780.

It is an arithmetic number, because the mean of its divisors is an integer number (40462240).

Almost surely, 22246056020 is an apocalyptic number.

2246056020 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 2246056020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884375040).

2246056020 is an abundant number, since it is smaller than the sum of its proper divisors (5522694060).

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

2246056020 is a wasteful number, since it uses less digits than its factorization.

2246056020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10383 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2246056020 is about 47392.5734688464. The cubic root of 2246056020 is about 1309.6046084469.

The spelling of 2246056020 in words is "two billion, two hundred forty-six million, fifty-six thousand, twenty".