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136400220 = 223351122963
BaseRepresentation
bin10000010000101…
…00110101011100
3100111122211221000
420020110311130
5234404301340
621311310300
73244245165
oct1010246534
9314584830
10136400220
116aaa3560
123981b390
13223499b8
141418876c
15be94d30
hex8214d5c

136400220 has 96 divisors (see below), whose sum is σ = 462954240. Its totient is φ = 33065280.

The previous prime is 136400203. The next prime is 136400237. The reversal of 136400220 is 22004631.

It is a happy number.

136400220 is a `hidden beast` number, since 1 + 3 + 640 + 0 + 2 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (136400203) and next prime (136400237).

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 = 136400193 and 136400202.

It is a congruent number.

It is an unprimeable number.

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, 5542 + ... + 17421.

It is an arithmetic number, because the mean of its divisors is an integer number (4822440).

Almost surely, 2136400220 is an apocalyptic number.

136400220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136400220 is an abundant number, since it is smaller than the sum of its proper divisors (326554020).

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

136400220 is a wasteful number, since it uses less digits than its factorization.

136400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22992 (or 22984 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 136400220 is about 11679.0504751028. The cubic root of 136400220 is about 514.7602742641.

Adding to 136400220 its reverse (22004631), we get a palindrome (158404851).

The spelling of 136400220 in words is "one hundred thirty-six million, four hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 22963 45926 68889 91852 114815 137778 206667 229630 252593 275556 344445 413334 459260 505186 620001 688890 757779 826668 1010372 1033335 1240002 1262965 1377780 1515558 2066670 2273337 2480004 2525930 3031116 3100005 3788895 4133340 4546674 5051860 6200010 6820011 7577790 9093348 11366685 12400020 13640022 15155580 22733370 27280044 34100055 45466740 68200110 136400220