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20229842880 = 2633513233773
BaseRepresentation
bin10010110101110010…
…101110011111000000
31221012212000111102000
4102311302232133000
5312412314433010
613143215424000
71314212553522
oct226562563700
957185014360
1020229842880
118641245415
123b06b25000
131ba51b0540
14d9ca35a12
157d601c7c0
hex4b5cae7c0

20229842880 has 448 divisors, whose sum is σ = 77285819520. Its totient is φ = 4951867392.

The previous prime is 20229842837. The next prime is 20229842933. The reversal of 20229842880 is 8824892202.

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

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, 26170174 + ... + 26170946.

It is an arithmetic number, because the mean of its divisors is an integer number (172512990).

Almost surely, 220229842880 is an apocalyptic number.

20229842880 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 20229842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38642909760).

20229842880 is an abundant number, since it is smaller than the sum of its proper divisors (57055976640).

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

20229842880 is a wasteful number, since it uses less digits than its factorization.

20229842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1029 counting only the distinct ones).

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

The spelling of 20229842880 in words is "twenty billion, two hundred twenty-nine million, eight hundred forty-two thousand, eight hundred eighty".