Search a number
-
+
226613640 = 233511215607
BaseRepresentation
bin11011000000111…
…01100110001000
3120210102011110210
431200131212020
5431003114030
634253041120
75421120111
oct1540354610
9523364423
10226613640
11106a10200
1263a861a0
1337c44b16
142214d208
1514d64bb0
hexd81d988

226613640 has 96 divisors (see below), whose sum is σ = 747311040. Its totient is φ = 54933120.

The previous prime is 226613623. The next prime is 226613657. The reversal of 226613640 is 46316622.

It is an interprime number because it is at equal distance from previous prime (226613623) and next prime (226613657).

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

It is a junction number, because it is equal to n+sod(n) for n = 226613598 and 226613607.

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, 6717 + ... + 22323.

It is an arithmetic number, because the mean of its divisors is an integer number (7784490).

Almost surely, 2226613640 is an apocalyptic number.

226613640 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 226613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373655520).

226613640 is an abundant number, since it is smaller than the sum of its proper divisors (520697400).

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

226613640 is a wasteful number, since it uses less digits than its factorization.

226613640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226613640 is about 15053.6919059744. The cubic root of 226613640 is about 609.6707351389.

The spelling of 226613640 in words is "two hundred twenty-six million, six hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 15607 31214 46821 62428 78035 93642 124856 156070 171677 187284 234105 312140 343354 374568 468210 515031 624280 686708 858385 936420 1030062 1373416 1716770 1872840 1888447 2060124 2575155 3433540 3776894 4120248 5150310 5665341 6867080 7553788 9442235 10300620 11330682 15107576 18884470 20601240 22661364 28326705 37768940 45322728 56653410 75537880 113306820 226613640