Search a number
-
+
90226896 = 24319241127
BaseRepresentation
bin1010110000011…
…00000011010000
320021210000000220
411120030003100
5141044230041
612541513040
72143626114
oct530140320
9207700026
1090226896
1146a26891
1226272780
13159012c6
14bda9744
157dc3d66
hex560c0d0

90226896 has 120 divisors (see below), whose sum is σ = 253983744. Its totient is φ = 27578880.

The previous prime is 90226891. The next prime is 90226901. The reversal of 90226896 is 69862209.

It is an interprime number because it is at equal distance from previous prime (90226891) and next prime (90226901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90226891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710385 + ... + 710511.

Almost surely, 290226896 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 90226896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872).

90226896 is an abundant number, since it is smaller than the sum of its proper divisors (163756848).

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

90226896 is a wasteful number, since it uses less digits than its factorization.

90226896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 90226896 is about 9498.7839221660. The cubic root of 90226896 is about 448.5167559601.

The spelling of 90226896 in words is "ninety million, two hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 127 152 164 228 246 254 304 328 361 381 456 492 508 656 722 762 779 912 984 1016 1083 1444 1524 1558 1968 2032 2166 2337 2413 2888 3048 3116 4332 4674 4826 5207 5776 6096 6232 7239 8664 9348 9652 10414 12464 14478 14801 15621 17328 18696 19304 20828 28956 29602 31242 37392 38608 41656 44403 45847 57912 59204 62484 83312 88806 91694 98933 115824 118408 124968 137541 177612 183388 197866 236816 249936 275082 296799 355224 366776 395732 550164 593598 710448 733552 791464 1100328 1187196 1582928 1879727 2200656 2374392 3759454 4748784 5639181 7518908 11278362 15037816 22556724 30075632 45113448 90226896