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52229120 = 21051012
BaseRepresentation
bin1100011100111…
…1010000000000
310122021111212212
43013033100000
5101332312440
65103241252
71202640326
oct307172000
9118244785
1052229120
1127533569
12155a9228
13aa88c08
146d17d16
1548ba465
hex31cf400

52229120 has 66 divisors (see below), whose sum is σ = 126541446. Its totient is φ = 20684800.

The previous prime is 52229071. The next prime is 52229123. The reversal of 52229120 is 2192225.

It can be written as a sum of positive squares in 3 ways, for example, as 32444416 + 19784704 = 5696^2 + 4448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52229123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 517070 + ... + 517170.

Almost surely, 252229120 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 52229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63270723).

52229120 is an abundant number, since it is smaller than the sum of its proper divisors (74312326).

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

52229120 is an equidigital number, since it uses as much as digits as its factorization.

52229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 52229120 is about 7226.9717032793. The cubic root of 52229120 is about 373.7985131078.

Multiplying 52229120 by its product of nonzero digits (720), we get a square (37604966400 = 1939202).

The spelling of 52229120 in words is "fifty-two million, two hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 101 128 160 202 256 320 404 505 512 640 808 1010 1024 1280 1616 2020 2560 3232 4040 5120 6464 8080 10201 12928 16160 20402 25856 32320 40804 51005 51712 64640 81608 102010 103424 129280 163216 204020 258560 326432 408040 517120 652864 816080 1305728 1632160 2611456 3264320 5222912 6528640 10445824 13057280 26114560 52229120