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90122022 = 23231373433
BaseRepresentation
bin1010101111100…
…10011100100110
320021120200011200
411113302130212
5141032401042
612535343330
72143011264
oct527623446
9207520150
1090122022
1146965011
1226221b46
1315895653
14bd7d434
157da2c4c
hex55f2726

90122022 has 48 divisors (see below), whose sum is σ = 202570368. Its totient is φ = 28926720.

The previous prime is 90122017. The next prime is 90122029. The reversal of 90122022 is 22022109.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90121986 and 90122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90122029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207918 + ... + 208350.

It is an arithmetic number, because the mean of its divisors is an integer number (4220216).

Almost surely, 290122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101285184).

90122022 is an abundant number, since it is smaller than the sum of its proper divisors (112448346).

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

90122022 is a wasteful number, since it uses less digits than its factorization.

90122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 90122022 is about 9493.2619262296. The cubic root of 90122022 is about 448.3429128132.

The spelling of 90122022 in words is "ninety million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 373 433 558 746 866 1119 1299 2238 2598 3357 3897 6714 7794 11563 13423 23126 26846 34689 40269 69378 80538 104067 120807 161509 208134 241614 323018 484527 969054 1453581 2907162 5006779 10013558 15020337 30040674 45061011 90122022