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22234228700 = 22523717893359
BaseRepresentation
bin10100101101010000…
…110110011111011100
32010101112121211211212
4110231100312133130
5331013430304300
614114140403552
71414661553125
oct245520663734
963345554755
1022234228700
11947a708122
1243862465b8
132134531c58
14110cd1304c
158a1e99935
hex52d4367dc

22234228700 has 72 divisors (see below), whose sum is σ = 49594742400. Its totient is φ = 8645909760.

The previous prime is 22234228649. The next prime is 22234228703. The reversal of 22234228700 is 782243222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234228703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6617621 + ... + 6620979.

Almost surely, 222234228700 is an apocalyptic number.

22234228700 is a gapful number since it is divisible by the number (20) 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 22234228700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24797371200).

22234228700 is an abundant number, since it is smaller than the sum of its proper divisors (27360513700).

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

22234228700 is a wasteful number, since it uses less digits than its factorization.

22234228700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 22234228700 in words is "twenty-two billion, two hundred thirty-four million, two hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1789 1850 3359 3578 3700 6718 7156 8945 13436 16795 17890 33590 35780 44725 66193 67180 83975 89450 124283 132386 167950 178900 248566 264772 330965 335900 497132 621415 661930 1242830 1323860 1654825 2485660 3107075 3309650 6009251 6214150 6619300 12018502 12428300 24037004 30046255 60092510 120185020 150231275 222342287 300462550 444684574 600925100 889369148 1111711435 2223422870 4446845740 5558557175 11117114350 22234228700