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20228892480 = 263354354449
BaseRepresentation
bin10010110101101111…
…000110011101000000
31221012210020012201000
4102311233012131000
5312412044024410
613143143212000
71314201514626
oct226557063500
957183205630
1020228892480
118640756365
123b06747000
131ba4c39a84
14d9c869516
157d5dd0dc0
hex4b5bc6740

20228892480 has 224 divisors, whose sum is σ = 73023984000. Its totient is φ = 5268824064.

The previous prime is 20228892443. The next prime is 20228892487. The reversal of 20228892480 is 8429882202.

20228892480 is a `hidden beast` number, since 2 + 0 + 2 + 2 + 88 + 92 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20228892487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344296 + ... + 398744.

Almost surely, 220228892480 is an apocalyptic number.

20228892480 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 20228892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36511992000).

20228892480 is an abundant number, since it is smaller than the sum of its proper divisors (52795091520).

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

20228892480 is a wasteful number, since it uses less digits than its factorization.

20228892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54518 (or 54502 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 20228892480 in words is "twenty billion, two hundred twenty-eight million, eight hundred ninety-two thousand, four hundred eighty".