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2223051553040 = 24580934348757
BaseRepresentation
bin100000010110011000001…
…100101011100100010000
321212112002021200202112012
4200112120030223210100
5242410302144144130
64421131125522052
7316416201265043
oct40263014534420
97775067622465
102223051553040
11787877712a6a
122baa13573328
1313182c522956
147984c23cc5a
153cc60046995
hex2059832b910

2223051553040 has 40 divisors (see below), whose sum is σ = 5174983880280. Its totient is φ = 888121435136.

The previous prime is 2223051553013. The next prime is 2223051553043. The reversal of 2223051553040 is 403551503222.

It can be written as a sum of positive squares in 4 ways, for example, as 495751177216 + 1727300375824 = 704096^2 + 1314268^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2223051552988 and 2223051553006.

It is not an unprimeable number, because it can be changed into a prime (2223051553043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17109659 + ... + 17239098.

It is an arithmetic number, because the mean of its divisors is an integer number (129374597007).

Almost surely, 22223051553040 is an apocalyptic number.

2223051553040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223051553040 is an abundant number, since it is smaller than the sum of its proper divisors (2951932327240).

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

2223051553040 is a wasteful number, since it uses less digits than its factorization.

2223051553040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34349579 (or 34349573 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 2223051553040 in words is "two trillion, two hundred twenty-three billion, fifty-one million, five hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 809 1618 3236 4045 6472 8090 12944 16180 32360 64720 34348757 68697514 137395028 171743785 274790056 343487570 549580112 686975140 1373950280 2747900560 27788144413 55576288826 111152577652 138940722065 222305155304 277881444130 444610310608 555762888260 1111525776520 2223051553040