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22828050 = 2325277247
BaseRepresentation
bin101011100010…
…1010000010010
31120221210012100
41113011100102
521320444200
62133141230
7365015040
oct127052022
946853170
1022828050
1111982063
12778a816
13496372b
143063390
15200dd00
hex15c5412

22828050 has 72 divisors (see below), whose sum is σ = 70102656. Its totient is φ = 5217120.

The previous prime is 22828037. The next prime is 22828051. The reversal of 22828050 is 5082822.

It is a super-2 number, since 2×228280502 = 1042239733605000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22828051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 474 + ... + 6773.

It is an arithmetic number, because the mean of its divisors is an integer number (973648).

Almost surely, 222828050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22828050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35051328).

22828050 is an abundant number, since it is smaller than the sum of its proper divisors (47274606).

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

22828050 is a wasteful number, since it uses less digits than its factorization.

22828050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22828050 is about 4777.8708647263. The cubic root of 22828050 is about 283.6762246180.

The spelling of 22828050 in words is "twenty-two million, eight hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 7247 14494 21741 36235 43482 50729 65223 72470 101458 108705 130446 152187 181175 217410 253645 304374 326115 362350 456561 507290 543525 652230 760935 913122 1087050 1268225 1521870 1630575 2282805 2536450 3261150 3804675 4565610 7609350 11414025 22828050