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224102040 = 23352836599
BaseRepresentation
bin11010101101110…
…00011010011000
3120121200120012120
431112320122120
5424332231130
634123141240
75360556501
oct1526703230
9517616176
10224102040
111055551a8
1263074820
1337575876
1421a97ba8
1514a1a910
hexd5b8698

224102040 has 64 divisors (see below), whose sum is σ = 674784000. Its totient is φ = 59540352.

The previous prime is 224102033. The next prime is 224102113. The reversal of 224102040 is 40201422.

224102040 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 Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30661 + ... + 37259.

It is an arithmetic number, because the mean of its divisors is an integer number (10543500).

Almost surely, 2224102040 is an apocalyptic number.

224102040 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 224102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337392000).

224102040 is an abundant number, since it is smaller than the sum of its proper divisors (450681960).

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

224102040 is a wasteful number, since it uses less digits than its factorization.

224102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896 (or 6892 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224102040 is about 14970.0380761039. The cubic root of 224102040 is about 607.4099986908.

Adding to 224102040 its reverse (40201422), we get a palindrome (264303462).

The spelling of 224102040 in words is "two hundred twenty-four million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 283 566 849 1132 1415 1698 2264 2830 3396 4245 5660 6599 6792 8490 11320 13198 16980 19797 26396 32995 33960 39594 52792 65990 79188 98985 131980 158376 197970 263960 395940 791880 1867517 3735034 5602551 7470068 9337585 11205102 14940136 18675170 22410204 28012755 37350340 44820408 56025510 74700680 112051020 224102040