Search a number
-
+
2422715040 = 253256127581
BaseRepresentation
bin1001000001100111…
…1011001010100000
320020211202200020200
42100121323022200
514430203340130
61040223105200
7114015511104
oct22031731240
96224680220
102422715040
111033617739
12577442200
132c7c0cac5
1418da93904
15e2a61760
hex9067b2a0

2422715040 has 144 divisors (see below), whose sum is σ = 8403352776. Its totient is φ = 635443200.

The previous prime is 2422715027. The next prime is 2422715077. The reversal of 2422715040 is 405172242.

It can be written as a sum of positive squares in 4 ways, for example, as 2049916176 + 372798864 = 45276^2 + 19308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2422714995 and 2422715013.

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 23 ways as a sum of consecutive naturals, for example, 74050 + ... + 101630.

Almost surely, 22422715040 is an apocalyptic number.

2422715040 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 2422715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201676388).

2422715040 is an abundant number, since it is smaller than the sum of its proper divisors (5980637736).

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

2422715040 is a wasteful number, since it uses less digits than its factorization.

2422715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27663 (or 27652 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2422715040 is about 49221.0832875507. The cubic root of 2422715040 is about 1343.0765872161.

Adding to 2422715040 its reverse (405172242), we get a palindrome (2827887282).

The spelling of 2422715040 in words is "two billion, four hundred twenty-two million, seven hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 4392 4880 5490 5856 7320 8784 9760 10980 14640 17568 21960 27581 29280 43920 55162 82743 87840 110324 137905 165486 220648 248229 275810 330972 413715 441296 496458 551620 661944 827430 882592 992916 1103240 1241145 1323888 1654860 1682441 1985832 2206480 2482290 2647776 3309720 3364882 3971664 4412960 4964580 5047323 6619440 6729764 7943328 8412205 9929160 10094646 13238880 13459528 15141969 16824410 19858320 20189292 25236615 26919056 30283938 33648820 39716640 40378584 50473230 53838112 60567876 67297640 75709845 80757168 100946460 121135752 134595280 151419690 161514336 201892920 242271504 269190560 302839380 403785840 484543008 605678760 807571680 1211357520 2422715040