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138233220 = 223523100169
BaseRepresentation
bin10000011110101…
…00010110000100
3100122002222022220
420033110112010
5240341430340
621414452340
73265651206
oct1017242604
9318088286
10138233220
1171035734
123a3640b0
132283c108
1414504776
15c207ed0
hex83d4584

138233220 has 48 divisors (see below), whose sum is σ = 403885440. Its totient is φ = 35259136.

The previous prime is 138233209. The next prime is 138233233. The reversal of 138233220 is 22332831.

It is a super-2 number, since 2×1382332202 = 38216846223136800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 48705 + ... + 51464.

It is an arithmetic number, because the mean of its divisors is an integer number (8414280).

Almost surely, 2138233220 is an apocalyptic number.

138233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138233220 is an abundant number, since it is smaller than the sum of its proper divisors (265652220).

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

138233220 is a wasteful number, since it uses less digits than its factorization.

138233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100204 (or 100202 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 138233220 is about 11757.2624364688. The cubic root of 138233220 is about 517.0558723056.

The spelling of 138233220 in words is "one hundred thirty-eight million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 100169 200338 300507 400676 500845 601014 1001690 1202028 1502535 2003380 2303887 3005070 4607774 6010140 6911661 9215548 11519435 13823322 23038870 27646644 34558305 46077740 69116610 138233220