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136312220 = 225114713183
BaseRepresentation
bin10000001111111…
…11010110011100
3100111111101012202
420013333112130
5234343442340
621305351032
73243430502
oct1007772634
9314441182
10136312220
116aa43430
1239798478
1322318925
1414164672
15be78c15
hex81ff59c

136312220 has 48 divisors (see below), whose sum is σ = 318947328. Its totient is φ = 48509760.

The previous prime is 136312217. The next prime is 136312229. The reversal of 136312220 is 22213631.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 136312192 and 136312201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136312229) 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, 3749 + ... + 16931.

It is an arithmetic number, because the mean of its divisors is an integer number (6644736).

Almost surely, 2136312220 is an apocalyptic number.

136312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159473664).

136312220 is an abundant number, since it is smaller than the sum of its proper divisors (182635108).

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

136312220 is a wasteful number, since it uses less digits than its factorization.

136312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13250 (or 13248 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 136312220 is about 11675.2824376972. The cubic root of 136312220 is about 514.6495494932.

Adding to 136312220 its reverse (22213631), we get a palindrome (158525851).

It can be divided in two parts, 136312 and 220, that multiplied together give a triangular number (29988640 = T7744).

The spelling of 136312220 in words is "one hundred thirty-six million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 13183 26366 52732 65915 131830 145013 263660 290026 580052 619601 725065 1239202 1450130 2478404 2900260 3098005 6196010 6815611 12392020 13631222 27262444 34078055 68156110 136312220