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226090704 = 2437297991
BaseRepresentation
bin11010111100111…
…01111011010000
3120202102121010210
431132131323100
5430334400304
634233524120
75413511400
oct1536357320
9522377123
10226090704
11106693324
1263873640
1337ac0aa8
1422054800
1514caec89
hexd79ded0

226090704 has 120 divisors (see below), whose sum is σ = 687122688. Its totient is φ = 63866880.

The previous prime is 226090703. The next prime is 226090729. The reversal of 226090704 is 407090622.

It is a happy number.

226090704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2260907042 = 102234012870431232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226090703) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 227649 + ... + 228639.

Almost surely, 2226090704 is an apocalyptic number.

226090704 is a gapful number since it is divisible by the number (24) 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 226090704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343561344).

226090704 is an abundant number, since it is smaller than the sum of its proper divisors (461031984).

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

226090704 is a wasteful number, since it uses less digits than its factorization.

226090704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 226090704 is about 15036.3128459074. The cubic root of 226090704 is about 609.2014130997.

The spelling of 226090704 in words is "two hundred twenty-six million, ninety thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 97 98 112 147 168 194 196 291 294 336 388 392 582 588 679 776 784 991 1164 1176 1358 1552 1982 2037 2328 2352 2716 2973 3964 4074 4656 4753 5432 5946 6937 7928 8148 9506 10864 11892 13874 14259 15856 16296 19012 20811 23784 27748 28518 32592 38024 41622 47568 48559 55496 57036 76048 83244 96127 97118 110992 114072 145677 166488 192254 194236 228144 288381 291354 332976 384508 388472 576762 582708 672889 769016 776944 1153524 1165416 1345778 1538032 2018667 2307048 2330832 2691556 4037334 4614096 4710223 5383112 8074668 9420446 10766224 14130669 16149336 18840892 28261338 32298672 37681784 56522676 75363568 113045352 226090704