Search a number
-
+
223330202000 = 2453937119173
BaseRepresentation
bin1100111111111110000…
…1000111000110010000
3210100110021011202001222
43033333201013012100
512124340012431000
6250332501144212
722064221252433
oct3177741070620
9710407152058
10223330202000
1186794093284
12373489bb068
13180a1922029
14ab487a581a
155c2175ba85
hex33ff847190

223330202000 has 80 divisors (see below), whose sum is σ = 540593285232. Its totient is φ = 89235993600.

The previous prime is 223330201987. The next prime is 223330202023. The reversal of 223330202000 is 202033322.

It can be written as a sum of positive squares in 8 ways, for example, as 76742296576 + 146587905424 = 277024^2 + 382868^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 223330202000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1814414 + ... + 1933586.

Almost surely, 2223330202000 is an apocalyptic number.

223330202000 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 223330202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270296642616).

223330202000 is an abundant number, since it is smaller than the sum of its proper divisors (317263083232).

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

223330202000 is a wasteful number, since it uses less digits than its factorization.

223330202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120133 (or 120117 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

Adding to 223330202000 its reverse (202033322), we get a palindrome (223532235322).

The spelling of 223330202000 in words is "two hundred twenty-three billion, three hundred thirty million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 937 1000 1874 2000 3748 4685 7496 9370 14992 18740 23425 37480 46850 74960 93700 117125 119173 187400 234250 238346 374800 468500 476692 595865 937000 953384 1191730 1874000 1906768 2383460 2979325 4766920 5958650 9533840 11917300 14896625 23834600 29793250 47669200 59586500 111665101 119173000 223330202 238346000 446660404 558325505 893320808 1116651010 1786641616 2233302020 2791627525 4466604040 5583255050 8933208080 11166510100 13958137625 22333020200 27916275250 44666040400 55832550500 111665101000 223330202000