Search a number
-
+
2022447213072 = 2434111319356543
BaseRepresentation
bin11101011011100011001…
…111110110101000010000
321011100021211020102110000
4131123203033312220100
5231113432441304242
64145033250410000
7266055061444656
oct35334317665020
97140254212400
102022447213072
1170a7957aa250
12287b69590900
1311893cc48680
146dc5bba4dd6
153791d9e8a4c
hex1d6e33f6a10

2022447213072 has 400 divisors, whose sum is σ = 6912650562048. Its totient is φ = 562778357760.

The previous prime is 2022447213053. The next prime is 2022447213109. The reversal of 2022447213072 is 2703127442202.

2022447213072 is a `hidden beast` number, since 202 + 2 + 447 + 2 + 1 + 3 + 0 + 7 + 2 = 666.

2022447213072 is an astonishing number since 2022447213072 = 213072 + ... + 2022447.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35740033 + ... + 35796575.

Almost surely, 22022447213072 is an apocalyptic number.

2022447213072 is a gapful number since it is divisible by the number (22) 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 2022447213072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456325281024).

2022447213072 is an abundant number, since it is smaller than the sum of its proper divisors (4890203348976).

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

2022447213072 is a wasteful number, since it uses less digits than its factorization.

2022447213072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56780 (or 56765 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 2022447213072 in words is "two trillion, twenty-two billion, four hundred forty-seven million, two hundred thirteen thousand, seventy-two".