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89225874 = 23431109163
BaseRepresentation
bin1010101000101…
…11101010010010
320012220010220000
411110113222102
5140320211444
612504230430
72132256513
oct524275222
9205803800
1089225874
11464027a1
1225a6b416
131564079a
14bbc8a0a
157c77469
hex5517a92

89225874 has 80 divisors (see below), whose sum is σ = 209552640. Its totient is φ = 28343520.

The previous prime is 89225867. The next prime is 89225879. The reversal of 89225874 is 47852298.

It is a super-2 number, since 2×892258742 = 15922513182127752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89225879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 547317 + ... + 547479.

It is an arithmetic number, because the mean of its divisors is an integer number (2619408).

Almost surely, 289225874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89225874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104776320).

89225874 is an abundant number, since it is smaller than the sum of its proper divisors (120326766).

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

89225874 is a wasteful number, since it uses less digits than its factorization.

89225874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 89225874 is about 9445.9448442175. The cubic root of 89225874 is about 446.8518945395.

The spelling of 89225874 in words is "eighty-nine million, two hundred twenty-five thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 109 162 163 186 218 279 326 327 489 558 654 837 978 981 1467 1674 1962 2511 2934 2943 3379 4401 5022 5053 5886 6758 8802 8829 10106 10137 13203 15159 17658 17767 20274 26406 30318 30411 35534 45477 53301 60822 90954 91233 106602 136431 159903 182466 272862 273699 319806 409293 479709 547398 550777 818586 959418 1101554 1439127 1652331 2878254 3304662 4956993 9913986 14870979 29741958 44612937 89225874