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2243121760 = 255111967079
BaseRepresentation
bin1000010110110011…
…0101001001100000
312210022211101120201
42011230311021200
514043214344020
61010325514544
7106405135405
oct20554651140
95708741521
102243121760
11a51202640
12527272a54
1329994c0a9
14173ca42ac
15d1dd8a0a
hex85b35260

2243121760 has 96 divisors (see below), whose sum is σ = 6085497600. Its totient is φ = 772738560.

The previous prime is 2243121739. The next prime is 2243121773. The reversal of 2243121760 is 671213422.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 100 + ... + 66979.

It is an arithmetic number, because the mean of its divisors is an integer number (63390600).

Almost surely, 22243121760 is an apocalyptic number.

2243121760 is a gapful number since it is divisible by the number (20) 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 2243121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042748800).

2243121760 is an abundant number, since it is smaller than the sum of its proper divisors (3842375840).

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

2243121760 is a wasteful number, since it uses less digits than its factorization.

2243121760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67124 (or 67116 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 2243121760 is about 47361.6063916755. The cubic root of 2243121760 is about 1309.0340683560.

The spelling of 2243121760 in words is "two billion, two hundred forty-three million, one hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1520 1672 1760 2090 3040 3344 4180 6688 8360 16720 33440 67079 134158 268316 335395 536632 670790 737869 1073264 1274501 1341580 1475738 2146528 2549002 2683160 2951476 3689345 5098004 5366320 5902952 6372505 7378690 10196008 10732640 11805904 12745010 14019511 14757380 20392016 23611808 25490020 28039022 29514760 40784032 50980040 56078044 59029520 70097555 101960080 112156088 118059040 140195110 203920160 224312176 280390220 448624352 560780440 1121560880 2243121760