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90284220 = 22355131429
BaseRepresentation
bin1010110000110…
…10000010111100
320021212220200000
411120122002330
5141103043340
612543034300
72144255205
oct530320274
9207786600
1090284220
1146a65964
122629b990
1315921420
14bdc25ac
157dd5d30
hex561a0bc

90284220 has 144 divisors (see below), whose sum is σ = 306065760. Its totient is φ = 22208256.

The previous prime is 90284191. The next prime is 90284237. The reversal of 90284220 is 2248209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62466 + ... + 63894.

Almost surely, 290284220 is an apocalyptic number.

90284220 is a gapful number since it is divisible by the number (90) 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 90284220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153032880).

90284220 is an abundant number, since it is smaller than the sum of its proper divisors (215781540).

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

90284220 is a wasteful number, since it uses less digits than its factorization.

90284220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 90284220 is about 9501.8008819381. The cubic root of 90284220 is about 448.6117214771.

The spelling of 90284220 in words is "ninety million, two hundred eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 243 260 270 324 351 390 405 468 486 540 585 702 780 810 972 1053 1170 1215 1404 1429 1620 1755 2106 2340 2430 2858 3159 3510 4212 4287 4860 5265 5716 6318 7020 7145 8574 10530 12636 12861 14290 15795 17148 18577 21060 21435 25722 28580 31590 37154 38583 42870 51444 55731 63180 64305 74308 77166 85740 92885 111462 115749 128610 154332 167193 185770 192915 222924 231498 257220 278655 334386 347247 371540 385830 462996 501579 557310 578745 668772 694494 771660 835965 1003158 1114620 1157490 1388988 1504737 1671930 1736235 2006316 2314980 2507895 3009474 3343860 3472470 4514211 5015790 6018948 6944940 7523685 9028422 10031580 15047370 18056844 22571055 30094740 45142110 90284220