Search a number
-
+
227071746 = 232112137761
BaseRepresentation
bin11011000100011…
…01011100000010
3120211021102212200
431202031130002
5431112243441
634310534030
75425035516
oct1542153402
9524242780
10227071746
111071a3400
1264067316
13380754a5
142222c146
1514e057b6
hexd88d702

227071746 has 72 divisors (see below), whose sum is σ = 545444172. Its totient is φ = 68217600.

The previous prime is 227071739. The next prime is 227071753. The reversal of 227071746 is 647170722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (227071739) and next prime (227071753).

It can be written as a sum of positive squares in 2 ways, for example, as 204175521 + 22896225 = 14289^2 + 4785^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 227071746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298006 + ... + 298766.

Almost surely, 2227071746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227071746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272722086).

227071746 is an abundant number, since it is smaller than the sum of its proper divisors (318372426).

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

227071746 is a wasteful number, since it uses less digits than its factorization.

227071746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 227071746 is about 15068.8999598511. The cubic root of 227071746 is about 610.0812809365.

The spelling of 227071746 in words is "two hundred twenty-seven million, seventy-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 137 198 242 274 363 411 726 761 822 1089 1233 1507 1522 2178 2283 2466 3014 4521 4566 6849 8371 9042 13563 13698 16577 16742 25113 27126 33154 49731 50226 75339 92081 99462 104257 149193 150678 184162 208514 276243 298386 312771 552486 625542 828729 938313 1146827 1657458 1876626 2293654 3440481 6880962 10321443 12615097 20642886 25230194 37845291 75690582 113535873 227071746