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136107220 = 22523332917
BaseRepresentation
bin10000001110011…
…01010011010100
3100111002222000011
420013031103110
5234320412340
621301130004
73241615024
oct1007152324
9314088004
10136107220
116a913407
12396b9904
1322276522
141410da84
15be380ea
hex81cd4d4

136107220 has 24 divisors (see below), whose sum is σ = 286045704. Its totient is φ = 54400896.

The previous prime is 136107211. The next prime is 136107221. The reversal of 136107220 is 22701631.

It can be written as a sum of positive squares in 4 ways, for example, as 45400644 + 90706576 = 6738^2 + 9524^2 .

It is a super-2 number, since 2×1361072202 = 37050350672256800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 136107191 and 136107200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136107221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45202 + ... + 48118.

It is an arithmetic number, because the mean of its divisors is an integer number (11918571).

Almost surely, 2136107220 is an apocalyptic number.

136107220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136107220 is an abundant number, since it is smaller than the sum of its proper divisors (149938484).

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

136107220 is a wasteful number, since it uses less digits than its factorization.

136107220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5259 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 136107220 is about 11666.4999035701. The cubic root of 136107220 is about 514.3914261676.

Adding to 136107220 its reverse (22701631), we get a palindrome (158808851).

The spelling of 136107220 in words is "one hundred thirty-six million, one hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2333 2917 4666 5834 9332 11665 11668 14585 23330 29170 46660 58340 6805361 13610722 27221444 34026805 68053610 136107220