Search a number
-
+
226368252 = 2232112157331
BaseRepresentation
bin11010111111000…
…01101011111100
3120202221200212100
431133201223330
5430422241002
634243505100
75416045515
oct1537415374
9522850770
10226368252
11106862900
1263988190
1337b8a216
14220c7a0c
1514d1711c
hexd7e1afc

226368252 has 108 divisors (see below), whose sum is σ = 634874968. Its totient is φ = 67953600.

The previous prime is 226368239. The next prime is 226368253. The reversal of 226368252 is 252863622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226368253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 683727 + ... + 684057.

Almost surely, 2226368252 is an apocalyptic number.

226368252 is a gapful number since it is divisible by the number (22) 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 226368252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317437484).

226368252 is an abundant number, since it is smaller than the sum of its proper divisors (408506716).

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

226368252 is a wasteful number, since it uses less digits than its factorization.

226368252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 504 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 226368252 is about 15045.5392724887. The cubic root of 226368252 is about 609.4505955290.

The spelling of 226368252 in words is "two hundred twenty-six million, three hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 157 198 242 314 331 363 396 471 484 628 662 726 942 993 1089 1324 1413 1452 1727 1884 1986 2178 2826 2979 3454 3641 3972 4356 5181 5652 5958 6908 7282 10362 10923 11916 14564 15543 18997 20724 21846 31086 32769 37994 40051 43692 51967 56991 62172 65538 75988 80102 103934 113982 120153 131076 155901 160204 170973 207868 227964 240306 311802 341946 360459 467703 480612 571637 623604 683892 720918 935406 1143274 1441836 1714911 1870812 2286548 3429822 5144733 6288007 6859644 10289466 12576014 18864021 20578932 25152028 37728042 56592063 75456084 113184126 226368252