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138223200 = 2535257593
BaseRepresentation
bin10000011110100…
…01111001100000
3100122002110120210
420033101321200
5240341120300
621414334120
73265610043
oct1017217140
9318073523
10138223200
1171029155
123a35a340
132283769b
1414500c5a
15c205050
hex83d1e60

138223200 has 72 divisors (see below), whose sum is σ = 449924328. Its totient is φ = 36858880.

The previous prime is 138223181. The next prime is 138223291. The reversal of 138223200 is 2322831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26397 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (6248949).

Almost surely, 2138223200 is an apocalyptic number.

138223200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138223200 is an abundant number, since it is smaller than the sum of its proper divisors (311701128).

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

138223200 is a wasteful number, since it uses less digits than its factorization.

138223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57616 (or 57603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 138223200 is about 11756.8363091437. The cubic root of 138223200 is about 517.0433788663.

The spelling of 138223200 in words is "one hundred thirty-eight million, two hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 57593 115186 172779 230372 287965 345558 460744 575930 691116 863895 921488 1151860 1382232 1439825 1727790 1842976 2303720 2764464 2879650 3455580 4319475 4607440 5528928 5759300 6911160 8638950 9214880 11518600 13822320 17277900 23037200 27644640 34555800 46074400 69111600 138223200