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105226002 = 23273722571
BaseRepresentation
bin1100100010110…
…01111100010010
321100000000221100
412101121330102
5203414213002
614235205230
72415256230
oct621317422
9240000840
10105226002
1154440942
122b2a6816
1318a5340b
14dd91950
15938811c
hex6459f12

105226002 has 48 divisors (see below), whose sum is σ = 267613632. Its totient is φ = 29250720.

The previous prime is 105225959. The next prime is 105226013. The reversal of 105226002 is 200622501.

105226002 is a `hidden beast` number, since 10 + 52 + 2 + 600 + 2 = 666.

It is a super-2 number, since 2×1052260022 = 22145022993808008, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6624 + ... + 15947.

It is an arithmetic number, because the mean of its divisors is an integer number (5575284).

Almost surely, 2105226002 is an apocalyptic number.

105226002 is an abundant number, since it is smaller than the sum of its proper divisors (162387630).

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

105226002 is a wasteful number, since it uses less digits than its factorization.

105226002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22623 (or 22620 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105226002 is about 10257.9726067094. The cubic root of 105226002 is about 472.1076342918.

Adding to 105226002 its reverse (200622501), we get a palindrome (305848503).

The spelling of 105226002 in words is "one hundred five million, two hundred twenty-six thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 22571 45142 67713 135426 157997 203139 315994 406278 473991 835127 947982 1421973 1670254 2505381 2843946 5010762 5845889 7516143 11691778 15032286 17537667 35075334 52613001 105226002