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2283731664 = 243614091907
BaseRepresentation
bin1000100000011110…
…1111101011010000
312220011020120220020
42020013233223100
514134113403124
61014340143440
7110410253544
oct21007575320
95804216806
102283731664
11a7211a445
12538997b80
132a519a416
14179435a24
15d575b379
hex881efad0

2283731664 has 80 divisors (see below), whose sum is σ = 6014168640. Its totient is φ = 746542080.

The previous prime is 2283731651. The next prime is 2283731683. The reversal of 2283731664 is 4661373822.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1196599 + ... + 1198505.

It is an arithmetic number, because the mean of its divisors is an integer number (75177108).

Almost surely, 22283731664 is an apocalyptic number.

2283731664 is a gapful number since it is divisible by the number (24) 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 2283731664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007084320).

2283731664 is an abundant number, since it is smaller than the sum of its proper divisors (3730436976).

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

2283731664 is a wasteful number, since it uses less digits than its factorization.

2283731664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 2283731664 is about 47788.4051209077. The cubic root of 2283731664 is about 1316.8865372140.

The spelling of 2283731664 in words is "two billion, two hundred eighty-three million, seven hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 409 488 732 818 976 1227 1464 1636 1907 2454 2928 3272 3814 4908 5721 6544 7628 9816 11442 15256 19632 22884 24949 30512 45768 49898 74847 91536 99796 116327 149694 199592 232654 299388 348981 399184 465308 598776 697962 779963 930616 1197552 1395924 1559926 1861232 2339889 2791848 3119852 4679778 5583696 6239704 9359556 12479408 18719112 37438224 47577743 95155486 142733229 190310972 285466458 380621944 570932916 761243888 1141865832 2283731664