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2243782265725 = 5271113412186869
BaseRepresentation
bin100000101001101011110…
…110000100101101111101
321221111121001012002010201
4200221223312010231331
5243230231230000400
64434440201003501
7321052005400450
oct40515366045575
97844531162121
102243782265725
11795645659270
12302a3a183591
13133784401150
147a8575b5497
153d57500006a
hex20a6bd84b7d

2243782265725 has 96 divisors (see below), whose sum is σ = 3826777570560. Its totient is φ = 1259635968000.

The previous prime is 2243782265707. The next prime is 2243782265749. The reversal of 2243782265725 is 5275622873422.

It is a happy number.

It is not a de Polignac number, because 2243782265725 - 25 = 2243782265693 is a prime.

It is a super-4 number, since 4×22437822657254 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67410 + ... + 2119459.

It is an arithmetic number, because the mean of its divisors is an integer number (39862266360).

Almost surely, 22243782265725 is an apocalyptic number.

2243782265725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2243782265725 is a deficient number, since it is larger than the sum of its proper divisors (1582995304835).

2243782265725 is a wasteful number, since it uses less digits than its factorization.

2243782265725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186951 (or 2186946 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 55.

The spelling of 2243782265725 in words is "two trillion, two hundred forty-three billion, seven hundred eighty-two million, two hundred sixty-five thousand, seven hundred twenty-five".

Divisors: 1 5 7 11 13 25 35 41 55 65 77 91 143 175 205 275 287 325 385 451 455 533 715 1001 1025 1435 1925 2255 2275 2665 3157 3575 3731 5005 5863 7175 11275 13325 15785 18655 25025 29315 41041 78925 93275 146575 205205 1026025 2186869 10934345 15308083 24055559 28429297 54671725 76540415 89661629 120277795 142146485 168388913 199005079 312722267 382702075 448308145 601388975 627631403 710732425 841944565 986277919 995025395 1165601177 1563611335 2189055869 2241540725 3138157015 4209722825 4931389595 4975126975 5828005885 6903945433 7818056675 8159208239 10945279345 12821612947 15690785075 24656947975 29140029425 34519727165 40796041195 54726396725 64108064735 89751290629 172598635825 203980205975 320540323675 448756453145 2243782265725