Search a number
-
+
225341004 = 22372409937
BaseRepresentation
bin11010110111001…
…10111001001100
3120201000111202010
431123212321030
5430141403004
634205501220
75404236600
oct1533467114
9521014663
10225341004
11106221039
1263571810
13378ba795
1421cdb500
1514bb2a89
hexd6e6e4c

225341004 has 72 divisors (see below), whose sum is σ = 613789680. Its totient is φ = 64157184.

The previous prime is 225340993. The next prime is 225341021. The reversal of 225341004 is 400143522.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240024 + ... + 240960.

Almost surely, 2225341004 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 225341004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306894840).

225341004 is an abundant number, since it is smaller than the sum of its proper divisors (388448676).

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

225341004 is a wasteful number, since it uses less digits than its factorization.

225341004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225341004 is about 15011.3624964558. The cubic root of 225341004 is about 608.5273118975.

Adding to 225341004 its reverse (400143522), we get a palindrome (625484526).

The spelling of 225341004 in words is "two hundred twenty-five million, three hundred forty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 409 588 818 937 1227 1636 1874 2454 2811 2863 3748 4908 5622 5726 6559 8589 11244 11452 13118 17178 19677 20041 26236 34356 39354 40082 45913 60123 78708 80164 91826 120246 137739 183652 240492 275478 383233 550956 766466 1149699 1532932 2299398 2682631 4598796 5365262 8047893 10730524 16095786 18778417 32191572 37556834 56335251 75113668 112670502 225341004