Search a number
-
+
22074736320 = 2632571384229
BaseRepresentation
bin10100100011110000…
…011011111011000000
32002222102111210102200
4110203300123323000
5330202113030240
614050242113200
71411014106560
oct244360337300
962872453380
1022074736320
1193a868213a
12434094b800
13210a48b570
1410d5a76da0
15892e92930
hex523c1bec0

22074736320 has 336 divisors, whose sum is σ = 93450826560. Its totient is φ = 4657471488.

The previous prime is 22074736273. The next prime is 22074736331. The reversal of 22074736320 is 2363747022.

22074736320 is a `hidden beast` number, since 220 + 74 + 7 + 363 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 219966 + ... + 304194.

It is an arithmetic number, because the mean of its divisors is an integer number (278127460).

Almost surely, 222074736320 is an apocalyptic number.

22074736320 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 22074736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46725413280).

22074736320 is an abundant number, since it is smaller than the sum of its proper divisors (71376090240).

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

22074736320 is a wasteful number, since it uses less digits than its factorization.

22074736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84272 (or 84259 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 22074736320 in words is "twenty-two billion, seventy-four million, seven hundred thirty-six thousand, three hundred twenty".