Search a number
-
+
226973688 = 233372331097
BaseRepresentation
bin11011000011101…
…01011111111000
3120211002110100220
431201311133320
5431101124223
634304500040
75424146604
oct1541653770
9524073326
10226973688
11107136767
126401a620
133803c976
1422204504
1514dd66e3
hexd8757f8

226973688 has 64 divisors (see below), whose sum is σ = 585804960. Its totient is φ = 73230336.

The previous prime is 226973627. The next prime is 226973693. The reversal of 226973688 is 886379622.

It is a self number, because there is not a number n which added to its sum of digits gives 226973688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206356 + ... + 207452.

Almost surely, 2226973688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226973688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292902480).

226973688 is an abundant number, since it is smaller than the sum of its proper divisors (358831272).

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

226973688 is a wasteful number, since it uses less digits than its factorization.

226973688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1372 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 226973688 is about 15065.6459536258. The cubic root of 226973688 is about 609.9934497191.

It can be divided in two parts, 2269 and 73688, that added together give a palindrome (75957).

The spelling of 226973688 in words is "two hundred twenty-six million, nine hundred seventy-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 233 296 444 466 699 888 932 1097 1398 1864 2194 2796 3291 4388 5592 6582 8621 8776 13164 17242 25863 26328 34484 40589 51726 68968 81178 103452 121767 162356 206904 243534 255601 324712 487068 511202 766803 974136 1022404 1533606 2044808 3067212 6134424 9457237 18914474 28371711 37828948 56743422 75657896 113486844 226973688