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2223141840 = 243256414817
BaseRepresentation
bin1000010010000010…
…0111001111010000
312201221020022021200
42010200213033100
514023111014330
61004333351200
7106043252043
oct20440471720
95657208250
102223141840
11a409a6407
12520638500
13295774b5a
14171382c5a
15d028da60
hex848273d0

2223141840 has 120 divisors (see below), whose sum is σ = 7479251208. Its totient is φ = 591790080.

The previous prime is 2223141779. The next prime is 2223141853. The reversal of 2223141840 is 481413222.

It can be written as a sum of positive squares in 4 ways, for example, as 215384976 + 2007756864 = 14676^2 + 44808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459112 + ... + 463928.

Almost surely, 22223141840 is an apocalyptic number.

2223141840 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 2223141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739625604).

2223141840 is an abundant number, since it is smaller than the sum of its proper divisors (5256109368).

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

2223141840 is a wasteful number, since it uses less digits than its factorization.

2223141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2223141840 is about 47150.2050896918. The cubic root of 2223141840 is about 1305.1358646584.

The spelling of 2223141840 in words is "two billion, two hundred twenty-three million, one hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 641 720 1282 1923 2564 3205 3846 4817 5128 5769 6410 7692 9615 9634 10256 11538 12820 14451 15384 19230 19268 23076 24085 25640 28845 28902 30768 38460 38536 43353 46152 48170 51280 57690 57804 72255 76920 77072 86706 92304 96340 115380 115608 144510 153840 173412 192680 216765 230760 231216 289020 346824 385360 433530 461520 578040 693648 867060 1156080 1734120 3087697 3468240 6175394 9263091 12350788 15438485 18526182 24701576 27789273 30876970 37052364 46315455 49403152 55578546 61753940 74104728 92630910 111157092 123507880 138946365 148209456 185261820 222314184 247015760 277892730 370523640 444628368 555785460 741047280 1111570920 2223141840