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105222330 = 23251169137
BaseRepresentation
bin1100100010110…
…01000010111010
321022222211220100
412101121002322
5203414103310
614235140230
72415242433
oct621310272
9238884810
10105222330
1154439104
122b2a4676
1318a51845
14dd9048a
159386ec0
hex64590ba

105222330 has 24 divisors (see below), whose sum is σ = 273578292. Its totient is φ = 28059264.

The previous prime is 105222319. The next prime is 105222343. The reversal of 105222330 is 33222501.

It can be written as a sum of positive squares in 2 ways, for example, as 96059601 + 9162729 = 9801^2 + 3027^2 .

It is a super-2 number, since 2×1052223302 = 22143477461257800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584479 + ... + 584658.

Almost surely, 2105222330 is an apocalyptic number.

105222330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105222330 is an abundant number, since it is smaller than the sum of its proper divisors (168355962).

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

105222330 is a wasteful number, since it uses less digits than its factorization.

105222330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169150 (or 1169147 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105222330 is about 10257.7936224122. The cubic root of 105222330 is about 472.1021426219.

Adding to 105222330 its reverse (33222501), we get a palindrome (138444831).

The spelling of 105222330 in words is "one hundred five million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1169137 2338274 3507411 5845685 7014822 10522233 11691370 17537055 21044466 35074110 52611165 105222330