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2241273240 = 233456011151
BaseRepresentation
bin1000010110010111…
…0001110110011000
312210012100110220000
42011211301312120
514042231220430
61010222133000
7106353336213
oct20545616630
95705313800
102241273240
11a5015a838
12526721160
132994528ab
1417394277a
15d1b70e60
hex85971d98

2241273240 has 160 divisors (see below), whose sum is σ = 7552258560. Its totient is φ = 596160000.

The previous prime is 2241273239. The next prime is 2241273257. The reversal of 2241273240 is 423721422.

2241273240 is a `hidden beast` number, since 2 + 2 + 412 + 7 + 3 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1946665 + ... + 1947815.

It is an arithmetic number, because the mean of its divisors is an integer number (47201616).

Almost surely, 22241273240 is an apocalyptic number.

2241273240 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 2241273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776129280).

2241273240 is an abundant number, since it is smaller than the sum of its proper divisors (5310985320).

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

2241273240 is a wasteful number, since it uses less digits than its factorization.

2241273240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2241273240 is about 47342.0874064505. The cubic root of 2241273240 is about 1308.6743850041.

Adding to 2241273240 its reverse (423721422), we get a palindrome (2664994662).

The spelling of 2241273240 in words is "two billion, two hundred forty-one million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 601 648 810 1080 1151 1202 1620 1803 2302 2404 3005 3240 3453 3606 4604 4808 5409 5755 6010 6906 7212 9015 9208 10359 10818 11510 12020 13812 14424 16227 17265 18030 20718 21636 23020 24040 27045 27624 31077 32454 34530 36060 41436 43272 46040 48681 51795 54090 62154 64908 69060 72120 81135 82872 93231 97362 103590 108180 124308 129816 138120 155385 162270 186462 194724 207180 216360 243405 248616 310770 324540 372924 389448 414360 466155 486810 621540 649080 691751 745848 932310 973620 1243080 1383502 1864620 1947240 2075253 2767004 3458755 3729240 4150506 5534008 6225759 6917510 8301012 10376265 12451518 13835020 16602024 18677277 20752530 24903036 27670040 31128795 37354554 41505060 49806072 56031831 62257590 74709108 83010120 93386385 112063662 124515180 149418216 186772770 224127324 249030360 280159155 373545540 448254648 560318310 747091080 1120636620 2241273240