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138226200 = 23352732911
BaseRepresentation
bin10000011110100…
…10101000011000
3100122002121200220
420033102220120
5240341214300
621414400040
73265621560
oct1017225030
9318077626
10138226200
1171030432
123a360020
1322838b68
1414501da0
15c205da0
hex83d2a18

138226200 has 96 divisors (see below), whose sum is σ = 489730560. Its totient is φ = 31593600.

The previous prime is 138226199. The next prime is 138226213. The reversal of 138226200 is 2622831.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 12256 + ... + 20655.

It is an arithmetic number, because the mean of its divisors is an integer number (5101360).

Almost surely, 2138226200 is an apocalyptic number.

138226200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138226200 is an abundant number, since it is smaller than the sum of its proper divisors (351504360).

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

138226200 is a wasteful number, since it uses less digits than its factorization.

138226200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32937 (or 32928 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 138226200 is about 11756.9638937950. The cubic root of 138226200 is about 517.0471194803.

The spelling of 138226200 in words is "one hundred thirty-eight million, two hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 32911 65822 98733 131644 164555 197466 230377 263288 329110 394932 460754 493665 658220 691131 789864 822775 921508 987330 1151885 1316440 1382262 1645550 1843016 1974660 2303770 2468325 2764524 3291100 3455655 3949320 4607540 4936650 5529048 5759425 6582200 6911310 9215080 9873300 11518850 13822620 17278275 19746600 23037700 27645240 34556550 46075400 69113100 138226200