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672105222 = 23337437823
BaseRepresentation
bin101000000011111…
…000001100000110
31201211200111001000
4220003320030012
52334024331342
6150405314130
722440541305
oct5003701406
91654614030
10672105222
11315427668
12169105946
13a93236c9
146539643c
153e01244c
hex280f8306

672105222 has 64 divisors (see below), whose sum is σ = 1569807360. Its totient is φ = 212883552.

The previous prime is 672105211. The next prime is 672105223. The reversal of 672105222 is 222501276.

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 (672105223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82003 + ... + 89825.

It is an arithmetic number, because the mean of its divisors is an integer number (24528240).

Almost surely, 2672105222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672105222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784903680).

672105222 is an abundant number, since it is smaller than the sum of its proper divisors (897702138).

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

672105222 is a wasteful number, since it uses less digits than its factorization.

672105222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7914 (or 7908 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 672105222 is about 25924.9922275784. The cubic root of 672105222 is about 875.9495420364.

Adding to 672105222 its reverse (222501276), we get a palindrome (894606498).

The spelling of 672105222 in words is "six hundred seventy-two million, one hundred five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 43 54 74 86 111 129 222 258 333 387 666 774 999 1161 1591 1998 2322 3182 4773 7823 9546 14319 15646 23469 28638 42957 46938 70407 85914 140814 211221 289451 336389 422442 578902 672778 868353 1009167 1736706 2018334 2605059 3027501 5210118 6055002 7815177 9082503 12446393 15630354 18165006 24892786 37339179 74678358 112017537 224035074 336052611 672105222