Search a number
-
+
226113792 = 2832271297
BaseRepresentation
bin11010111101000…
…11100100000000
3120202110202210220
431132203210000
5430341120132
634234223040
75413635612
oct1536434400
9522422726
10226113792
111066a9703
1263884a80
1337acb458
142205cdb2
1514cb6a2c
hexd7a3900

226113792 has 72 divisors (see below), whose sum is σ = 604909536. Its totient is φ = 74981376.

The previous prime is 226113779. The next prime is 226113799. The reversal of 226113792 is 297311622.

It is a super-2 number, since 2×2261137922 = 102254893865238528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226113799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173688 + ... + 174984.

Almost surely, 2226113792 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 226113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302454768).

226113792 is an abundant number, since it is smaller than the sum of its proper divisors (378795744).

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

226113792 is a wasteful number, since it uses less digits than its factorization.

226113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1529 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 226113792 is about 15037.0805677166. The cubic root of 226113792 is about 609.2221492662. Note that the first 3 decimals are identical.

The spelling of 226113792 in words is "two hundred twenty-six million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 227 256 384 454 681 768 908 1297 1362 1816 2594 2724 3632 3891 5188 5448 7264 7782 10376 10896 14528 15564 20752 21792 29056 31128 41504 43584 58112 62256 83008 87168 124512 166016 174336 249024 294419 332032 498048 588838 883257 996096 1177676 1766514 2355352 3533028 4710704 7066056 9421408 14132112 18842816 28264224 37685632 56528448 75371264 113056896 226113792