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20226473280 = 26335133137157
BaseRepresentation
bin10010110101100101…
…110111110101000000
31221012121200022012000
4102311211313311000
5312410434121110
613143015304000
71314142120566
oct226545676500
957177608160
1020226473280
11863a353822
123b0597b000
131ba45a08b0
14d9c3d9a36
157d5aa41c0
hex4b5977d40

20226473280 has 896 divisors, whose sum is σ = 81984860160. Its totient is φ = 4658135040.

The previous prime is 20226473273. The next prime is 20226473291. The reversal of 20226473280 is 8237462202.

It is a happy number.

20226473280 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 647 + 3 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×202264732802 (a number of 21 digits) 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 127 ways as a sum of consecutive naturals, for example, 128830962 + ... + 128831118.

It is an arithmetic number, because the mean of its divisors is an integer number (91500960).

Almost surely, 220226473280 is an apocalyptic number.

20226473280 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 20226473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40992430080).

20226473280 is an abundant number, since it is smaller than the sum of its proper divisors (61758386880).

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

20226473280 is a wasteful number, since it uses less digits than its factorization.

20226473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20226473280 in words is "twenty billion, two hundred twenty-six million, four hundred seventy-three thousand, two hundred eighty".