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90223896 = 23372174513
BaseRepresentation
bin1010110000010…
…11010100011000
320021202211220210
411120023110120
5141044131041
612541451120
72143614300
oct530132430
9207684823
1090223896
1146a24604
1226270aa0
13158ccb29
14bda8600
157dc3016
hex560b518

90223896 has 96 divisors (see below), whose sum is σ = 277881840. Its totient is φ = 24256512.

The previous prime is 90223883. The next prime is 90223897. The reversal of 90223896 is 69832209.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90223897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17736 + ... + 22248.

Almost surely, 290223896 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 90223896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138940920).

90223896 is an abundant number, since it is smaller than the sum of its proper divisors (187657944).

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

90223896 is a wasteful number, since it uses less digits than its factorization.

90223896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4542 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 90223896 is about 9498.6260059021. The cubic root of 90223896 is about 448.5117849177.

It can be divided in two parts, 90223 and 896, that added together give a palindrome (91119).

The spelling of 90223896 in words is "ninety million, two hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1176 1428 1666 2499 2856 3332 4513 4998 6664 9026 9996 13539 18052 19992 27078 31591 36104 54156 63182 76721 94773 108312 126364 153442 189546 221137 230163 252728 306884 379092 442274 460326 537047 613768 663411 758184 884548 920652 1074094 1326822 1611141 1769096 1841304 2148188 2653644 3222282 3759329 4296376 5307288 6444564 7518658 11277987 12889128 15037316 22555974 30074632 45111948 90223896