Search a number
-
+
225020484 = 223313293547
BaseRepresentation
bin11010110100110…
…00101001000100
3120200102020002000
431122120221010
5430101123414
634154545300
75401433253
oct1532305104
9520366060
10225020484
11106022247
1263438230
1337807920
1421c5679a
1514b4cb09
hexd698a44

225020484 has 96 divisors (see below), whose sum is σ = 631559040. Its totient is φ = 68874624.

The previous prime is 225020479. The next prime is 225020489. The reversal of 225020484 is 484020522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225020479) and next prime (225020489).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (225020489) 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, 411099 + ... + 411645.

It is an arithmetic number, because the mean of its divisors is an integer number (6578740).

Almost surely, 2225020484 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 225020484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315779520).

225020484 is an abundant number, since it is smaller than the sum of its proper divisors (406538556).

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

225020484 is a wasteful number, since it uses less digits than its factorization.

225020484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 225020484 is about 15000.6827844602. The cubic root of 225020484 is about 608.2386564529.

The spelling of 225020484 in words is "two hundred twenty-five million, twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 293 351 468 547 586 702 879 1094 1172 1404 1641 1758 2188 2637 3282 3516 3809 4923 5274 6564 7111 7618 7911 9846 10548 11427 14222 14769 15236 15822 19692 21333 22854 28444 29538 31644 34281 42666 45708 59076 63999 68562 85332 102843 127998 137124 160271 191997 205686 255996 320542 383994 411372 480813 641084 767988 961626 1442439 1923252 2083523 2884878 4167046 4327317 5769756 6250569 8334092 8654634 12501138 17309268 18751707 25002276 37503414 56255121 75006828 112510242 225020484