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140100224 = 2711195237
BaseRepresentation
bin10000101100111…
…00001010000000
3100202121211101012
420112130022000
5241331201344
621522500052
73320555315
oct1026341200
9322554335
10140100224
11720a0410
123ab04628
1323043b54
141486cd0c
15c47629e
hex859c280

140100224 has 64 divisors (see below), whose sum is σ = 320565600. Its totient is φ = 60318720.

The previous prime is 140100221. The next prime is 140100263. The reversal of 140100224 is 422001041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 140100199 and 140100208.

It is not an unprimeable number, because it can be changed into a prime (140100221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24134 + ... + 29370.

Almost surely, 2140100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160282800).

140100224 is an abundant number, since it is smaller than the sum of its proper divisors (180465376).

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

140100224 is a wasteful number, since it uses less digits than its factorization.

140100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5269 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 140100224 is about 11836.3940454853. The cubic root of 140100224 is about 519.3732883739.

Adding to 140100224 its reverse (422001041), we get a palindrome (562101265).

The spelling of 140100224 in words is "one hundred forty million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1672 2432 3344 5237 6688 10474 13376 20948 26752 41896 57607 83792 99503 115214 167584 199006 230428 335168 398012 460856 670336 796024 921712 1094533 1592048 1843424 2189066 3184096 3686848 4378132 6368192 7373696 8756264 12736384 17512528 35025056 70050112 140100224