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2285443944 = 233372365719
BaseRepresentation
bin1000100000111001…
…0001101101101000
312220021110120201000
42020032101231220
514140033201234
61014440555000
7110430644610
oct21016215550
95807416630
102285443944
11a73089953
12539482a60
132a56498c4
1417975da40
15d5998899
hex88391b68

2285443944 has 128 divisors (see below), whose sum is σ = 7570944000. Its totient is φ = 624583872.

The previous prime is 2285443933. The next prime is 2285443973. The reversal of 2285443944 is 4493445822.

It is a super-3 number, since 3×22854439443 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2285443944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1917 + ... + 67635.

It is an arithmetic number, because the mean of its divisors is an integer number (59148000).

Almost surely, 22285443944 is an apocalyptic number.

2285443944 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 2285443944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785472000).

2285443944 is an abundant number, since it is smaller than the sum of its proper divisors (5285500056).

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

2285443944 is a wasteful number, since it uses less digits than its factorization.

2285443944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65764 (or 65754 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 2285443944 is about 47806.3169884483. The cubic root of 2285443944 is about 1317.2155769170.

The spelling of 2285443944 in words is "two billion, two hundred eighty-five million, four hundred forty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5796 8694 11592 17388 34776 65719 131438 197157 262876 394314 460033 525752 591471 788628 920066 1182942 1380099 1511537 1577256 1774413 1840132 2365884 2760198 3023074 3548826 3680264 4140297 4534611 4731768 5520396 6046148 7097652 8280594 9069222 10580759 11040792 12092296 12420891 13603833 14195304 16561188 18138444 21161518 24841782 27207666 31742277 33122376 36276888 40811499 42323036 49683564 54415332 63484554 81622998 84646072 95226831 99367128 108830664 126969108 163245996 190453662 253938216 285680493 326491992 380907324 571360986 761814648 1142721972 2285443944