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223381953608 = 2311413812
BaseRepresentation
bin1101000000001010011…
…0100001110001001000
3210100120212112222221012
43100002212201301020
512124441240003413
6250341550303052
722065420163652
oct3200246416110
9710525488835
10223381953608
1186810320000
12373621b7a88
13180ac571798
14ab515d76d2
155c260807a8
hex34029a1c48

223381953608 has 60 divisors (see below), whose sum is σ = 461056275225. Its totient is φ = 101463727200.

The previous prime is 223381953607. The next prime is 223381953649. The reversal of 223381953608 is 806359183322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 222918068164 + 463885444 = 472142^2 + 21538^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334202.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223381953607) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 161753078 + ... + 161754458.

Almost surely, 2223381953608 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 223381953608

223381953608 is an abundant number, since it is smaller than the sum of its proper divisors (237674321617).

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

223381953608 is an frugal number, since it uses more digits than its factorization.

223381953608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

Multiplying 223381953608 by its sum of digits (50), we get a square (11169097680400 = 33420202).

The spelling of 223381953608 in words is "two hundred twenty-three billion, three hundred eighty-one million, nine hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 1381 2662 2762 5324 5524 10648 11048 14641 15191 29282 30382 58564 60764 117128 121528 167101 334202 668404 1336808 1838111 1907161 3676222 3814322 7352444 7628644 14704888 15257288 20219221 20978771 40438442 41957542 80876884 83915084 161753768 167830168 230766481 461532962 923065924 1846131848 2538431291 5076862582 10153725164 20307450328 27922744201 55845488402 111690976804 223381953608