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20223008 = 2513173281
BaseRepresentation
bin100110100100…
…1010000100000
31102001102202022
41031021100200
520134114013
62001241012
7333615131
oct115112040
942042668
1020223008
1110462933
126933168
134260aa0
142985c88
151b97008
hex1349420

20223008 has 48 divisors (see below), whose sum is σ = 43277976. Its totient is φ = 9246720.

The previous prime is 20222987. The next prime is 20223023. The reversal of 20223008 is 80032202.

It is a Cunningham number, because it is equal to 44972-1.

It can be written as a sum of positive squares in 4 ways, for example, as 18905104 + 1317904 = 4348^2 + 1148^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71828 + ... + 72108.

Almost surely, 220223008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20223008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21638988).

20223008 is an abundant number, since it is smaller than the sum of its proper divisors (23054968).

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

20223008 is a wasteful number, since it uses less digits than its factorization.

20223008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20223008 is about 4496.9998888148. Note that the first 3 decimals coincide. The cubic root of 20223008 is about 272.4469295971.

The spelling of 20223008 in words is "twenty million, two hundred twenty-three thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 173 208 281 346 416 562 692 1124 1384 2248 2249 2768 3653 4496 4498 5536 7306 8992 8996 14612 17992 29224 35984 48613 58448 71968 97226 116896 194452 388904 631969 777808 1263938 1555616 2527876 5055752 10111504 20223008