Search a number
-
+
22073297040 = 2434531109883
BaseRepresentation
bin10100100011101010…
…111100100010010000
32002222022210200010000
4110203222330202100
5330201231001130
614050151210000
71410665633454
oct244352744220
962868720100
1022073297040
1193a7889853
124340376900
13210a0a6412
1410d57c0664
15892cab260
hex523abc890

22073297040 has 200 divisors, whose sum is σ = 79137577728. Its totient is φ = 5696282880.

The previous prime is 22073297039. The next prime is 22073297143. The reversal of 22073297040 is 4079237022.

22073297040 is a `hidden beast` number, since 220 + 7 + 329 + 70 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22073296986 and 22073297004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145939 + ... + 255821.

Almost surely, 222073297040 is an apocalyptic number.

22073297040 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 22073297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39568788864).

22073297040 is an abundant number, since it is smaller than the sum of its proper divisors (57064280688).

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

22073297040 is a wasteful number, since it uses less digits than its factorization.

22073297040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109939 (or 109924 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 22073297040 in words is "twenty-two billion, seventy-three million, two hundred ninety-seven thousand, forty".