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106222259 = 11132233331
BaseRepresentation
bin1100101010011…
…01001010110011
321101212122112202
412111031022303
5204143103014
614312413415
72426605613
oct625151263
9241778482
10106222259
1154a613a0
122b6a726b
1319011a10
1410170a43
1594d33de
hex654d2b3

106222259 has 16 divisors (see below), whose sum is σ = 125389824. Its totient is φ = 88711200.

The previous prime is 106222247. The next prime is 106222297. The reversal of 106222259 is 952222601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106222259 is a prime.

It is a super-2 number, since 2×1062222592 = 22566336614126162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106222219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30224 + ... + 33554.

It is an arithmetic number, because the mean of its divisors is an integer number (7836864).

Almost surely, 2106222259 is an apocalyptic number.

106222259 is a deficient number, since it is larger than the sum of its proper divisors (19167565).

106222259 is a wasteful number, since it uses less digits than its factorization.

106222259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578.

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 106222259 is about 10306.4183400442. The cubic root of 106222259 is about 473.5928943490.

It can be divided in two parts, 10 and 6222259, that multiplied together give a triangular number (62222590 = T11155).

The spelling of 106222259 in words is "one hundred six million, two hundred twenty-two thousand, two hundred fifty-nine".

Divisors: 1 11 13 143 223 2453 2899 3331 31889 36641 43303 476333 742813 8170943 9656569 106222259