Search a number
-
+
106306722 = 2332398237
BaseRepresentation
bin1100101011000…
…01110010100010
321102000221102000
412111201302202
5204203303342
614314304430
72430410064
oct625416242
9242027360
10106306722
11550098a5
122b728116
13190412b2
1410193734
1594ed44c
hex6561ca2

106306722 has 32 divisors (see below), whose sum is σ = 237254400. Its totient is φ = 35283024.

The previous prime is 106306703. The next prime is 106306723. The reversal of 106306722 is 227603601.

It is a happy number.

106306722 is a `hidden beast` number, since 1 + 0 + 630 + 6 + 7 + 22 = 666.

It is a super-2 number, since 2×1063067222 = 22602238284770568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106306723) 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, 8788 + ... + 17024.

It is an arithmetic number, because the mean of its divisors is an integer number (7414200).

Almost surely, 2106306722 is an apocalyptic number.

106306722 is an abundant number, since it is smaller than the sum of its proper divisors (130947678).

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

106306722 is a wasteful number, since it uses less digits than its factorization.

106306722 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106306722 is about 10310.5151180724. The cubic root of 106306722 is about 473.7183874405.

The spelling of 106306722 in words is "one hundred six million, three hundred six thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 239 478 717 1434 2151 4302 6453 8237 12906 16474 24711 49422 74133 148266 222399 444798 1968643 3937286 5905929 11811858 17717787 35435574 53153361 106306722