Search a number
-
+
106250220 = 22325590279
BaseRepresentation
bin1100101010100…
…11111111101100
321101221001220100
412111103333230
5204200001340
614313151100
72430053256
oct625237754
9241831810
10106250220
1154a803aa
122b6bb490
131902166b
141017acd6
1594db830
hex6553fec

106250220 has 36 divisors (see below), whose sum is σ = 322292880. Its totient is φ = 28333344.

The previous prime is 106250201. The next prime is 106250267. The reversal of 106250220 is 22052601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1062502202 = 22578218500096800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106250193 and 106250202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294960 + ... + 295319.

It is an arithmetic number, because the mean of its divisors is an integer number (8952580).

Almost surely, 2106250220 is an apocalyptic number.

106250220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106250220 is an abundant number, since it is smaller than the sum of its proper divisors (216042660).

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

106250220 is a wasteful number, since it uses less digits than its factorization.

106250220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590294 (or 590289 counting only the distinct ones).

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

The square root of 106250220 is about 10307.7747356061. The cubic root of 106250220 is about 473.6344454931.

The spelling of 106250220 in words is "one hundred six million, two hundred fifty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 590279 1180558 1770837 2361116 2951395 3541674 5312511 5902790 7083348 8854185 10625022 11805580 17708370 21250044 26562555 35416740 53125110 106250220