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2425252140 = 22325311492917
BaseRepresentation
bin1001000010001110…
…0110100100101100
320021000112120111100
42100203212210230
514431331032030
61040353323100
7114046205643
oct22043464454
96230476440
102425252140
111034a9a913
12578266490
132c85ba84c
1419015435a
15e2db3360
hex908e692c

2425252140 has 144 divisors (see below), whose sum is σ = 7647494400. Its totient is φ = 621457920.

The previous prime is 2425252139. The next prime is 2425252163. The reversal of 2425252140 is 412525242.

2425252140 is a `hidden beast` number, since 2 + 425 + 25 + 214 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 829962 + ... + 832878.

It is an arithmetic number, because the mean of its divisors is an integer number (53107600).

Almost surely, 22425252140 is an apocalyptic number.

2425252140 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 2425252140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823747200).

2425252140 is an abundant number, since it is smaller than the sum of its proper divisors (5222242260).

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

2425252140 is a wasteful number, since it uses less digits than its factorization.

2425252140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 2425252140 is about 49246.8490362581. The cubic root of 2425252140 is about 1343.5452529867.

Adding to 2425252140 its reverse (412525242), we get a palindrome (2837777382).

The spelling of 2425252140 in words is "two billion, four hundred twenty-five million, two hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 149 155 180 186 279 298 310 372 447 465 558 596 620 745 894 930 1116 1341 1395 1490 1788 1860 2235 2682 2790 2917 2980 4470 4619 5364 5580 5834 6705 8751 8940 9238 11668 13410 13857 14585 17502 18476 23095 26253 26820 27714 29170 35004 41571 43755 46190 52506 55428 58340 69285 83142 87510 90427 92380 105012 131265 138570 166284 175020 180854 207855 262530 271281 277140 361708 415710 434633 452135 525060 542562 813843 831420 869266 904270 1085124 1303899 1356405 1627686 1738532 1808540 2173165 2607798 2712810 3255372 3911697 4069215 4346330 5215596 5425620 6519495 7823394 8138430 8692660 13038990 13473623 15646788 16276860 19558485 26077980 26947246 39116970 40420869 53894492 67368115 78233940 80841738 121262607 134736230 161683476 202104345 242525214 269472460 404208690 485050428 606313035 808417380 1212626070 2425252140