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90039222 = 23371373251
BaseRepresentation
bin1010101110111…
…10001110110110
320021102110121000
411113132032312
5141022223342
612533504130
72142215010
oct527361666
9207373530
1090039222
1146908889
12261a2046
1315866a60
14bd5b1b0
157d8844c
hex55de3b6

90039222 has 128 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 23328000.

The previous prime is 90039211. The next prime is 90039247. The reversal of 90039222 is 22293009.

It is a super-2 number, since 2×900392222 = 16214122996730568, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 358597 + ... + 358847.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 290039222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90039222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

90039222 is an abundant number, since it is smaller than the sum of its proper divisors (160589898).

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

90039222 is a wasteful number, since it uses less digits than its factorization.

90039222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90039222 is about 9488.8999362413. The cubic root of 90039222 is about 448.2055650741.

It can be divided in two parts, 9003 and 9222, that added together give a square (18225 = 1352).

The spelling of 90039222 in words is "ninety million, thirty-nine thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 73 78 91 117 126 146 182 189 219 234 251 273 351 378 438 502 511 546 657 702 753 819 949 1022 1314 1506 1533 1638 1757 1898 1971 2259 2457 2847 3066 3263 3514 3942 4518 4599 4914 5271 5694 6526 6643 6777 8541 9198 9789 10542 13286 13554 13797 15813 17082 18323 19578 19929 22841 25623 27594 29367 31626 36646 39858 45682 47439 51246 54969 58734 59787 68523 88101 94878 109938 119574 128261 137046 164907 176202 179361 205569 238199 256522 329814 358722 384783 411138 476398 494721 616707 714597 769566 989442 1154349 1233414 1429194 1667393 2143791 2308698 3334786 3463047 4287582 5002179 6431373 6926094 10004358 12862746 15006537 30013074 45019611 90039222