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140222400 = 26352131223
BaseRepresentation
bin10000101101110…
…01111111000000
3100202212000222020
420112321333000
5241344104100
621525241440
73321604443
oct1026717700
9322760866
10140222400
117217418a
123ab63280
1323087646
14148a165a
15c49c5a0
hex85b9fc0

140222400 has 168 divisors, whose sum is σ = 465636864. Its totient is φ = 36940800.

The previous prime is 140222399. The next prime is 140222417. The reversal of 140222400 is 4222041.

140222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140222400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628689 + ... + 628911.

It is an arithmetic number, because the mean of its divisors is an integer number (2771648).

Almost surely, 2140222400 is an apocalyptic number.

140222400 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 140222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232818432).

140222400 is an abundant number, since it is smaller than the sum of its proper divisors (325414464).

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

140222400 is a wasteful number, since it uses less digits than its factorization.

140222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 140222400 is about 11841.5539520791. The cubic root of 140222400 is about 519.5242196441.

Adding to 140222400 its reverse (4222041), we get a palindrome (144444441).

The spelling of 140222400 in words is "one hundred forty million, two hundred twenty-two thousand, four hundred".