Search a number
-
+
91223028 = 2232131910259
BaseRepresentation
bin1010110111111…
…11001111110100
320100122121110200
411123333033310
5141323114103
613015120500
72155245231
oct533771764
9210577420
1091223028
1147547236
1226673130
1315b8c830
14c188788
15801e0a3
hex56ff3f4

91223028 has 72 divisors (see below), whose sum is σ = 261424800. Its totient is φ = 26588736.

The previous prime is 91223023. The next prime is 91223051. The reversal of 91223028 is 82032219.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 91222992 and 91223010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91223021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3763 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (3630900).

Almost surely, 291223028 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 91223028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130712400).

91223028 is an abundant number, since it is smaller than the sum of its proper divisors (170201772).

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

91223028 is a wasteful number, since it uses less digits than its factorization.

91223028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 91223028 is about 9551.0747039273. The cubic root of 91223028 is about 450.1613051353.

The spelling of 91223028 in words is "ninety-one million, two hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 10259 20518 30777 41036 61554 92331 123108 133367 184662 194921 266734 369324 389842 400101 533468 584763 779684 800202 1169526 1200303 1600404 1754289 2339052 2400606 2533973 3508578 4801212 5067946 7017156 7601919 10135892 15203838 22805757 30407676 45611514 91223028