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224901390 = 23572394481
BaseRepresentation
bin11010110011110…
…11100100001110
3120200012011201010
431121323210032
5430033321030
634152230050
75400426120
oct1531734416
9520164633
10224901390
11105a5081a
126339b326
133779565c
1421c25210
1514b276b0
hexd67b90e

224901390 has 64 divisors (see below), whose sum is σ = 619591680. Its totient is φ = 51179520.

The previous prime is 224901377. The next prime is 224901407. The reversal of 224901390 is 93109422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47950 + ... + 52430.

It is an arithmetic number, because the mean of its divisors is an integer number (9681120).

Almost surely, 2224901390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224901390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309795840).

224901390 is an abundant number, since it is smaller than the sum of its proper divisors (394690290).

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

224901390 is a wasteful number, since it uses less digits than its factorization.

224901390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 224901390 is about 14996.7126397754. The cubic root of 224901390 is about 608.1313323604.

The spelling of 224901390 in words is "two hundred twenty-four million, nine hundred one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 239 478 717 1195 1434 1673 2390 3346 3585 4481 5019 7170 8365 8962 10038 13443 16730 22405 25095 26886 31367 44810 50190 62734 67215 94101 134430 156835 188202 313670 470505 941010 1070959 2141918 3212877 5354795 6425754 7496713 10709590 14993426 16064385 22490139 32128770 37483565 44980278 74967130 112450695 224901390