Search a number
-
+
226687680 = 2633526237
BaseRepresentation
bin11011000001011…
…11101011000000
3120210112221001000
431200233223000
5431013001210
634254412000
75421546012
oct1540575300
9523487030
10226687680
11106a6089a
1263b01000
1337c6c72b
142216c1b2
1514d7bac0
hexd82fac0

226687680 has 112 divisors (see below), whose sum is σ = 799734240. Its totient is φ = 60447744.

The previous prime is 226687663. The next prime is 226687687. The reversal of 226687680 is 86786622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (226687687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4479 + ... + 21758.

Almost surely, 2226687680 is an apocalyptic number.

226687680 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 226687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399867120).

226687680 is an abundant number, since it is smaller than the sum of its proper divisors (573046560).

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

226687680 is a wasteful number, since it uses less digits than its factorization.

226687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26263 (or 26247 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 226687680 is about 15056.1509025381. The cubic root of 226687680 is about 609.7371258264.

The spelling of 226687680 in words is "two hundred twenty-six million, six hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 26237 52474 78711 104948 131185 157422 209896 236133 262370 314844 393555 419792 472266 524740 629688 708399 787110 839584 944532 1049480 1180665 1259376 1416798 1574220 1679168 1889064 2098960 2361330 2518752 2833596 3148440 3541995 3778128 4197920 4722660 5037504 5667192 6296880 7083990 7556256 8395840 9445320 11334384 12593760 14167980 15112512 18890640 22668768 25187520 28335960 37781280 45337536 56671920 75562560 113343840 226687680