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90306224 = 2431971877
BaseRepresentation
bin1010110000111…
…11011010110000
320021221000211222
411120133122300
5141104244344
612543324212
72144406311
oct530373260
9207830758
1090306224
1146a80448
12262b0668
131592b448
14bdca608
157ddc5ee
hex561f6b0

90306224 has 40 divisors (see below), whose sum is σ = 182571648. Its totient is φ = 43223040.

The previous prime is 90306187. The next prime is 90306239. The reversal of 90306224 is 42260309.

It is a junction number, because it is equal to n+sod(n) for n = 90306193 and 90306202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47174 + ... + 49050.

Almost surely, 290306224 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 90306224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91285824).

90306224 is an abundant number, since it is smaller than the sum of its proper divisors (92265424).

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

90306224 is a wasteful number, since it uses less digits than its factorization.

90306224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 90306224 is about 9502.9586971637. The cubic root of 90306224 is about 448.6481636169.

The spelling of 90306224 in words is "ninety million, three hundred six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 97 124 194 248 388 496 776 1552 1877 3007 3754 6014 7508 12028 15016 24056 30032 48112 58187 116374 182069 232748 364138 465496 728276 930992 1456552 2913104 5644139 11288278 22576556 45153112 90306224