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22730460 = 223519127157
BaseRepresentation
bin101011010110…
…1011011011100
31120202211022220
41112231123130
521304333320
62131105340
7364130364
oct126553334
946684286
1022730460
1111915805
127742250
13492b19c
1430399a4
151edee40
hex15ad6dc

22730460 has 96 divisors (see below), whose sum is σ = 67952640. Its totient is φ = 5660928.

The previous prime is 22730431. The next prime is 22730467. The reversal of 22730460 is 6403722.

It is a self number, because there is not a number n which added to its sum of digits gives 22730460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144702 + ... + 144858.

It is an arithmetic number, because the mean of its divisors is an integer number (707840).

Almost surely, 222730460 is an apocalyptic number.

22730460 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 22730460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33976320).

22730460 is an abundant number, since it is smaller than the sum of its proper divisors (45222180).

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

22730460 is a wasteful number, since it uses less digits than its factorization.

22730460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 22730460 is about 4767.6472184926. The cubic root of 22730460 is about 283.2714082275.

The spelling of 22730460 in words is "twenty-two million, seven hundred thirty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 157 190 228 254 285 314 380 381 471 508 570 628 635 762 785 942 1140 1270 1524 1570 1884 1905 2355 2413 2540 2983 3140 3810 4710 4826 5966 7239 7620 8949 9420 9652 11932 12065 14478 14915 17898 19939 24130 28956 29830 35796 36195 39878 44745 48260 59660 59817 72390 79756 89490 99695 119634 144780 178980 199390 239268 299085 378841 398780 598170 757682 1136523 1196340 1515364 1894205 2273046 3788410 4546092 5682615 7576820 11365230 22730460