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223251373040 = 2454168064443
BaseRepresentation
bin1100111111101011010…
…0011001101111110000
3210100020202211211001212
43033322310121233300
512124204322414130
6250321003415252
722062243234413
oct3177264315760
9710222754055
10223251373040
1186753641983
1237326524528
131808b4b1987
14ab3c125b7a
155c19889e95
hex33fad19bf0

223251373040 has 40 divisors (see below), whose sum is σ = 531719436528. Its totient is φ = 87122485760.

The previous prime is 223251372989. The next prime is 223251373049. The reversal of 223251373040 is 40373152322.

It is a happy number.

223251373040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2232513730403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223251372988 and 223251373006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223251373049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34028942 + ... + 34035501.

Almost surely, 2223251373040 is an apocalyptic number.

223251373040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223251373040 is an abundant number, since it is smaller than the sum of its proper divisors (308468063488).

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

223251373040 is a wasteful number, since it uses less digits than its factorization.

223251373040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68064497 (or 68064491 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 223251373040 in words is "two hundred twenty-three billion, two hundred fifty-one million, three hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 68064443 136128886 272257772 340322215 544515544 680644430 1089031088 1361288860 2722577720 2790642163 5445155440 5581284326 11162568652 13953210815 22325137304 27906421630 44650274608 55812843260 111625686520 223251373040