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138222180 = 223352331359
BaseRepresentation
bin10000011110100…
…01101001100100
3100122002102012000
420033101221210
5240341102210
621414325300
73265604055
oct1017215144
9318072160
10138222180
1171028408
123a359830
1322837095
141450072c
15c204ac0
hex83d1a64

138222180 has 192 divisors, whose sum is σ = 464486400. Its totient is φ = 34024320.

The previous prime is 138222179. The next prime is 138222197. The reversal of 138222180 is 81222831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384841 + ... + 385199.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 2138222180 is an apocalyptic number.

138222180 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 138222180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243200).

138222180 is an abundant number, since it is smaller than the sum of its proper divisors (326264220).

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

138222180 is a wasteful number, since it uses less digits than its factorization.

138222180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138222180 is about 11756.7929300469. The cubic root of 138222180 is about 517.0421070452.

The spelling of 138222180 in words is "one hundred thirty-eight million, two hundred twenty-two thousand, one hundred eighty".