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89131224 = 233713371103
BaseRepresentation
bin1010101000000…
…00100011011000
320012201100001110
411110000203120
5140304144344
612502220320
72131413540
oct524004330
9205640043
1089131224
1146348676
1225a246a0
1315609690
14bba2320
157c593b9
hex55008d8

89131224 has 128 divisors (see below), whose sum is σ = 281917440. Its totient is φ = 22851072.

The previous prime is 89131193. The next prime is 89131243. The reversal of 89131224 is 42213198.

It is a junction number, because it is equal to n+sod(n) for n = 89131191 and 89131200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80257 + ... + 81359.

It is an arithmetic number, because the mean of its divisors is an integer number (2202480).

Almost surely, 289131224 is an apocalyptic number.

89131224 is a gapful number since it is divisible by the number (84) 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 89131224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140958720).

89131224 is an abundant number, since it is smaller than the sum of its proper divisors (192786216).

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

89131224 is a wasteful number, since it uses less digits than its factorization.

89131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 89131224 is about 9440.9334284275. The cubic root of 89131224 is about 446.6938331538.

The spelling of 89131224 in words is "eighty-nine million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1103 1443 1554 1924 2072 2184 2206 2886 3108 3309 3367 3848 4412 5772 6216 6618 6734 7721 8824 10101 11544 13236 13468 14339 15442 20202 23163 26472 26936 28678 30884 40404 40811 43017 46326 57356 61768 80808 81622 86034 92652 100373 114712 122433 163244 172068 185304 200746 244866 285677 301119 326488 344136 401492 489732 530543 571354 602238 802984 857031 979464 1061086 1142708 1204476 1591629 1714062 2122172 2285416 2408952 3183258 3428124 3713801 4244344 6366516 6856248 7427602 11141403 12733032 14855204 22282806 29710408 44565612 89131224