Search a number
-
+
226155160 = 235711101727
BaseRepresentation
bin11010111101011…
…01101010011000
3120202112212120001
431132231222120
5430343431120
634235142344
75414200330
oct1536555230
9522485501
10226155160
111067277a0
12638a49b4
1337b1422a
14220700c0
1514cc3e0a
hexd7ada98

226155160 has 128 divisors (see below), whose sum is σ = 641571840. Its totient is φ = 69696000.

The previous prime is 226155151. The next prime is 226155169. The reversal of 226155160 is 61551622.

It is an interprime number because it is at equal distance from previous prime (226155151) and next prime (226155169).

It is a super-2 number, since 2×2261551602 = 102292312789251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226155169) 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, 310717 + ... + 311443.

It is an arithmetic number, because the mean of its divisors is an integer number (5012280).

Almost surely, 2226155160 is an apocalyptic number.

226155160 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 226155160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

226155160 is an abundant number, since it is smaller than the sum of its proper divisors (415416680).

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

226155160 is a wasteful number, since it uses less digits than its factorization.

226155160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 226155160 is about 15038.4560377720. The cubic root of 226155160 is about 609.2592998308.

It can be divided in two parts, 2 and 26155160, that added together give a palindrome (26155162).

The spelling of 226155160 in words is "two hundred twenty-six million, one hundred fifty-five thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 101 110 140 154 202 220 280 308 385 404 440 505 616 707 727 770 808 1010 1111 1414 1454 1540 2020 2222 2828 2908 3080 3535 3635 4040 4444 5089 5555 5656 5816 7070 7270 7777 7997 8888 10178 11110 14140 14540 15554 15994 20356 22220 25445 28280 29080 31108 31988 38885 39985 40712 44440 50890 55979 62216 63976 73427 77770 79970 101780 111958 146854 155540 159940 203560 223916 279895 293708 311080 319880 367135 447832 513989 559790 587416 734270 807697 1027978 1119580 1468540 1615394 2055956 2239160 2569945 2937080 3230788 4038485 4111912 5139890 5653879 6461576 8076970 10279780 11307758 16153940 20559560 22615516 28269395 32307880 45231032 56538790 113077580 226155160