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2422512240 = 2435172812113
BaseRepresentation
bin1001000001100100…
…1001101001110000
320020211101101001120
42100121021221300
514430130342430
61040214502240
7114014004621
oct22031115160
96224341046
102422512240
111033499335
12577364980
132c7b6b6c5
1418da3da48
15e2a21610
hex90649a70

2422512240 has 160 divisors (see below), whose sum is σ = 7983614016. Its totient is φ = 605552640.

The previous prime is 2422512229. The next prime is 2422512251. The reversal of 2422512240 is 422152242.

It is an interprime number because it is at equal distance from previous prime (2422512229) and next prime (2422512251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2422512240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1145424 + ... + 1147536.

Almost surely, 22422512240 is an apocalyptic number.

2422512240 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 2422512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991807008).

2422512240 is an abundant number, since it is smaller than the sum of its proper divisors (5561101776).

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

2422512240 is a wasteful number, since it uses less digits than its factorization.

2422512240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2422512240 is about 49219.0231516230. The cubic root of 2422512240 is about 1343.0391108686.

Adding to 2422512240 its reverse (422152242), we get a palindrome (2844664482).

The spelling of 2422512240 in words is "two billion, four hundred twenty-two million, five hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 281 340 408 510 562 680 816 843 1020 1124 1360 1405 1686 2040 2113 2248 2810 3372 4080 4215 4226 4496 4777 5620 6339 6744 8430 8452 9554 10565 11240 12678 13488 14331 16860 16904 19108 21130 22480 23885 25356 28662 31695 33720 33808 35921 38216 42260 47770 50712 57324 63390 67440 71655 71842 76432 84520 95540 101424 107763 114648 126780 143310 143684 169040 179605 191080 215526 229296 253560 286620 287368 359210 382160 431052 507120 538815 573240 574736 593753 718420 862104 1077630 1146480 1187506 1436840 1724208 1781259 2155260 2375012 2873680 2968765 3562518 4310520 4750024 5937530 7125036 8621040 8906295 9500048 10093801 11875060 14250072 17812590 20187602 23750120 28500144 30281403 35625180 40375204 47500240 50469005 60562806 71250360 80750408 100938010 121125612 142500720 151407015 161500816 201876020 242251224 302814030 403752040 484502448 605628060 807504080 1211256120 2422512240