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90022016 = 277231463
BaseRepresentation
bin1010101110110…
…10000010000000
320021101120222202
411113122002000
5141021201031
612533252332
72142113600
oct527320200
9207346882
1090022016
11468a6967
12261940a8
131585bc86
14bd54c00
157d832cb
hex55da080

90022016 has 96 divisors (see below), whose sum is σ = 215815680. Its totient is φ = 37255680.

The previous prime is 90022013. The next prime is 90022039. The reversal of 90022016 is 61022009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90022013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194201 + ... + 194663.

It is an arithmetic number, because the mean of its divisors is an integer number (2248080).

Almost surely, 290022016 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 90022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107907840).

90022016 is an abundant number, since it is smaller than the sum of its proper divisors (125793664).

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

90022016 is a wasteful number, since it uses less digits than its factorization.

90022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 90022016 is about 9487.9932546350. The cubic root of 90022016 is about 448.1770133827.

The spelling of 90022016 in words is "ninety million, twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 392 434 448 463 496 784 868 896 926 992 1519 1568 1736 1852 1984 3038 3136 3241 3472 3704 3968 6076 6272 6482 6944 7408 12152 12964 13888 14353 14816 22687 24304 25928 27776 28706 29632 45374 48608 51856 57412 59264 90748 97216 100471 103712 114824 181496 194432 200942 207424 229648 362992 401884 414848 459296 703297 725984 803768 918592 1406594 1451968 1607536 1837184 2813188 2903936 3215072 5626376 6430144 11252752 12860288 22505504 45011008 90022016