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223042272 = 25331149503
BaseRepresentation
bin11010100101101…
…01101011100000
3120112200201110220
431102311223200
5424044323042
634044323040
75345554005
oct1522655340
9515621426
10223042272
111049a0a62
1262843480
133729439b
142189d8ac
15148ab8ec
hexd4b5ae0

223042272 has 96 divisors (see below), whose sum is σ = 609638400. Its totient is φ = 71324160.

The previous prime is 223042271. The next prime is 223042297. The reversal of 223042272 is 272240322.

It is a happy number.

223042272 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223042271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443173 + ... + 443675.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2223042272 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 223042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

223042272 is an abundant number, since it is smaller than the sum of its proper divisors (386596128).

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

223042272 is a wasteful number, since it uses less digits than its factorization.

223042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 223042272 is about 14934.5998272468. The cubic root of 223042272 is about 606.4510143357.

Adding to 223042272 its reverse (272240322), we get a palindrome (495282594).

The spelling of 223042272 in words is "two hundred twenty-three million, forty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 149 186 248 298 372 447 496 503 596 744 894 992 1006 1192 1488 1509 1788 2012 2384 2976 3018 3576 4024 4619 4768 6036 7152 8048 9238 12072 13857 14304 15593 16096 18476 24144 27714 31186 36952 46779 48288 55428 62372 73904 74947 93558 110856 124744 147808 149894 187116 221712 224841 249488 299788 374232 443424 449682 498976 599576 748464 899364 1199152 1496928 1798728 2323357 2398304 3597456 4646714 6970071 7194912 9293428 13940142 18586856 27880284 37173712 55760568 74347424 111521136 223042272