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140224000 = 29537313
BaseRepresentation
bin10000101101110…
…10011000000000
3100202212010011111
420112322120000
5241344132000
621525253104
73321612220
oct1026723000
9322763144
10140224000
1172175404
123ab64194
13230882a7
14148a2080
15c49ccba
hex85ba600

140224000 has 160 divisors (see below), whose sum is σ = 400885056. Its totient is φ = 47923200.

The previous prime is 140223947. The next prime is 140224003. The reversal of 140224000 is 422041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447844 + ... + 448156.

Almost surely, 2140224000 is an apocalyptic number.

140224000 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 140224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200442528).

140224000 is an abundant number, since it is smaller than the sum of its proper divisors (260661056).

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

140224000 is an frugal number, since it uses more digits than its factorization.

140224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 140224000 is about 11841.6215105871. The cubic root of 140224000 is about 519.5261956374.

Adding to 140224000 its reverse (422041), we get a palindrome (140646041).

It can be divided in two parts, 140 and 224000, that multiplied together give a square (31360000 = 56002).

The spelling of 140224000 in words is "one hundred forty million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 256 280 313 320 350 400 448 500 512 560 626 640 700 800 875 896 1000 1120 1252 1280 1400 1565 1600 1750 1792 2000 2191 2240 2504 2560 2800 3130 3200 3500 3584 4000 4382 4480 5008 5600 6260 6400 7000 7825 8000 8764 8960 10016 10955 11200 12520 12800 14000 15650 16000 17528 17920 20032 21910 22400 25040 28000 31300 32000 35056 39125 40064 43820 44800 50080 54775 56000 62600 64000 70112 78250 80128 87640 89600 100160 109550 112000 125200 140224 156500 160256 175280 200320 219100 224000 250400 273875 280448 313000 350560 400640 438200 448000 500800 547750 560896 626000 701120 801280 876400 1001600 1095500 1121792 1252000 1402240 1752800 2003200 2191000 2504000 2804480 3505600 4006400 4382000 5008000 5608960 7011200 8764000 10016000 14022400 17528000 20032000 28044800 35056000 70112000 140224000