Search a number
-
+
2022904913920 = 21351119212437
BaseRepresentation
bin11101011011111110100…
…001110110000000000000
321011101110201111000222021
4131123332201312000000
5231120402124221140
64145150520451224
7266102320026532
oct35337641660000
97141421430867
102022904913920
1170aa000a5710
12288076919b14
131189b3a10587
146dca28a9852
1537948ca8b4a
hex1d6fe876000

2022904913920 has 336 divisors, whose sum is σ = 5589866755728. Its totient is φ = 696829870080.

The previous prime is 2022904913741. The next prime is 2022904913927. The reversal of 2022904913920 is 293194092202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022904913927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162645942 + ... + 162658378.

Almost surely, 22022904913920 is an apocalyptic number.

2022904913920 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 2022904913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794933377864).

2022904913920 is an abundant number, since it is smaller than the sum of its proper divisors (3566961841808).

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

2022904913920 is a wasteful number, since it uses less digits than its factorization.

2022904913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 2022904913920 in words is "two trillion, twenty-two billion, nine hundred four million, nine hundred thirteen thousand, nine hundred twenty".