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2226144700 = 2252132374453
BaseRepresentation
bin1000010010110000…
…0100010110111100
312202010212212102201
42010230010112330
514024343112300
61004522001244
7106110626533
oct20454042674
95663785381
102226144700
11a4266750a
12521646224
132962868b0
1417192531a
15d068366a
hex84b045bc

2226144700 has 72 divisors (see below), whose sum is σ = 5428590048. Its totient is φ = 786213120.

The previous prime is 2226144691. The next prime is 2226144731. The reversal of 2226144700 is 74416222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7327 + ... + 67126.

It is an arithmetic number, because the mean of its divisors is an integer number (75397084).

Almost surely, 22226144700 is an apocalyptic number.

2226144700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2226144700 is an abundant number, since it is smaller than the sum of its proper divisors (3202445348).

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

2226144700 is a wasteful number, since it uses less digits than its factorization.

2226144700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74503 (or 74496 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2226144700 is about 47182.0378957925. The cubic root of 2226144700 is about 1305.7232281472.

The spelling of 2226144700 in words is "two billion, two hundred twenty-six million, one hundred forty-four thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 74453 148906 297812 372265 744530 967889 1489060 1712419 1861325 1935778 3424838 3722650 3871556 4839445 6849676 7445300 8562095 9678890 17124190 19357780 22261447 24197225 34248380 42810475 44522894 48394450 85620950 89045788 96788900 111307235 171241900 222614470 445228940 556536175 1113072350 2226144700