Search a number
-
+
2427232140 = 22325192924473
BaseRepresentation
bin1001000010101100…
…1001111110001100
320021011021011112200
42100223021332030
514432332412030
61040504001500
7114102063354
oct22053117614
96234234480
102427232140
111036122483
12578a60290
132c8b31b48
1419050bb64
15e3154d60
hex90ac9f8c

2427232140 has 144 divisors (see below), whose sum is σ = 8017682400. Its totient is φ = 592026624.

The previous prime is 2427232133. The next prime is 2427232147. The reversal of 2427232140 is 412327242.

2427232140 is a `hidden beast` number, since 2 + 427 + 23 + 214 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2427232133) and next prime (2427232147).

It is a super-2 number, since 2×24272321402 = 11782911722897959200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2427232147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86944 + ... + 111416.

It is an arithmetic number, because the mean of its divisors is an integer number (55678350).

Almost surely, 22427232140 is an apocalyptic number.

2427232140 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 2427232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008841200).

2427232140 is an abundant number, since it is smaller than the sum of its proper divisors (5590450260).

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

2427232140 is a wasteful number, since it uses less digits than its factorization.

2427232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24536 (or 24531 counting only the distinct ones).

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

The square root of 2427232140 is about 49266.9477438982. The cubic root of 2427232140 is about 1343.9107814394.

Adding to 2427232140 its reverse (412327242), we get a palindrome (2839559382).

The spelling of 2427232140 in words is "two billion, four hundred twenty-seven million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 228 261 285 290 342 348 380 435 522 551 570 580 684 855 870 1044 1102 1140 1305 1653 1710 1740 2204 2610 2755 3306 3420 4959 5220 5510 6612 8265 9918 11020 16530 19836 24473 24795 33060 48946 49590 73419 97892 99180 122365 146838 220257 244730 293676 367095 440514 464987 489460 709717 734190 881028 929974 1101285 1394961 1419434 1468380 1859948 2129151 2202570 2324935 2789922 2838868 3548585 4184883 4258302 4405140 4649870 5579844 6387453 6974805 7097170 8369766 8516604 9299740 10645755 12774906 13484623 13949610 14194340 16739532 20924415 21291510 25549812 26969246 27899220 31937265 40453869 41848830 42583020 53938492 63874530 67423115 80907738 83697660 121361607 127749060 134846230 161815476 202269345 242723214 269692460 404538690 485446428 606808035 809077380 1213616070 2427232140