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90616212 = 22335914221
BaseRepresentation
bin1010110011010…
…11000110010100
320022111210002000
411121223012110
5141144204322
612554115300
72150140131
oct531530624
9208453060
1090616212
1147172335
122641bb30
1315a0957b
14c06b588
157e4e3ac
hex566b194

90616212 has 48 divisors (see below), whose sum is σ = 238929600. Its totient is φ = 29691360.

The previous prime is 90616177. The next prime is 90616217. The reversal of 90616212 is 21261609.

It is a super-2 number, since 2×906162122 = 16422595754457888, 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 not an unprimeable number, because it can be changed into a prime (90616217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 13482.

It is an arithmetic number, because the mean of its divisors is an integer number (4977700).

Almost surely, 290616212 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 90616212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119464800).

90616212 is an abundant number, since it is smaller than the sum of its proper divisors (148313388).

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

90616212 is a wasteful number, since it uses less digits than its factorization.

90616212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14293 (or 14285 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 90616212 is about 9519.2548027669. The cubic root of 90616212 is about 449.1609253139.

The spelling of 90616212 in words is "ninety million, six hundred sixteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 531 708 1062 1593 2124 3186 6372 14221 28442 42663 56884 85326 127989 170652 255978 383967 511956 767934 839039 1535868 1678078 2517117 3356156 5034234 7551351 10068468 15102702 22654053 30205404 45308106 90616212