Search a number
-
+
2223414343040 = 27511981132191
BaseRepresentation
bin100000010110101101110…
…100100111010110000000
321212120000120100101211212
4200112231310213112000
5242412023032434130
64421231125425252
7316431165041612
oct40265564472600
97776016311755
102223414343040
11787a43483510
122baab4b6b228
131318897365a7
14798844b8db2
153cc81d09e95
hex205add27580

2223414343040 has 128 divisors (see below), whose sum is σ = 5799334717440. Its totient is φ = 808406784000.

The previous prime is 2223414342979. The next prime is 2223414343049. The reversal of 2223414343040 is 403434143222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2223414342988 and 2223414343006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223414343049) 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, 69053345 + ... + 69085535.

It is an arithmetic number, because the mean of its divisors is an integer number (45307302480).

Almost surely, 22223414343040 is an apocalyptic number.

2223414343040 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 2223414343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899667358720).

2223414343040 is an abundant number, since it is smaller than the sum of its proper divisors (3575920374400).

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

2223414343040 is a wasteful number, since it uses less digits than its factorization.

2223414343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42032 (or 42020 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2223414343040 its reverse (403434143222), we get a palindrome (2626848486262).

The spelling of 2223414343040 in words is "two trillion, two hundred twenty-three billion, four hundred fourteen million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 9811 19622 32191 39244 49055 64382 78488 98110 107921 128764 156976 160955 196220 215842 257528 313952 321910 354101 392440 431684 515056 539605 627904 643820 708202 784880 863368 1030112 1079210 1255808 1287640 1416404 1569760 1726736 1770505 2060224 2158420 2575280 2832808 3139520 3453472 3541010 4120448 4316840 5150560 5665616 6279040 6906944 7082020 8633680 10301120 11331232 13813888 14164040 17267360 20602240 22662464 28328080 34534720 45324928 56656160 69069440 113312320 226624640 315825901 631651802 1263303604 1579129505 2526607208 3158259010 3474084911 5053214416 6316518020 6948169822 10106428832 12633036040 13896339644 17370424555 20212857664 25266072080 27792679288 34740849110 40425715328 50532144160 55585358576 69481698220 101064288320 111170717152 138963396440 202128576640 222341434304 277926792880 444682868608 555853585760 1111707171520 2223414343040