Search a number
-
+
2466629220 = 22351129128873
BaseRepresentation
bin1001001100000101…
…1100011001100100
320100220101202011210
42103001130121210
520022424113340
61044432231420
7115061000556
oct22301343144
96326352153
102466629220
111056391050
1258a09b570
13304047123
141958454d6
15e6838180
hex9305c664

2466629220 has 96 divisors (see below), whose sum is σ = 7794299520. Its totient is φ = 577346560.

The previous prime is 2466629177. The next prime is 2466629251. The reversal of 2466629220 is 229266642.

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 31 ways as a sum of consecutive naturals, for example, 45297 + ... + 83576.

It is an arithmetic number, because the mean of its divisors is an integer number (81190620).

Almost surely, 22466629220 is an apocalyptic number.

2466629220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2466629220 is an abundant number, since it is smaller than the sum of its proper divisors (5327670300).

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

2466629220 is a wasteful number, since it uses less digits than its factorization.

2466629220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128925 (or 128923 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 2466629220 is about 49665.1710960508. The cubic root of 2466629220 is about 1351.1429223790.

The spelling of 2466629220 in words is "two billion, four hundred sixty-six million, six hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 128873 257746 386619 515492 644365 773238 1288730 1417603 1546476 1933095 2577460 2835206 3737317 3866190 4252809 5670412 7088015 7474634 7732380 8505618 11211951 14176030 14949268 17011236 18686585 21264045 22423902 28352060 37373170 41110487 42528090 44847804 56059755 74746340 82220974 85056180 112119510 123331461 164441948 205552435 224239020 246662922 411104870 493325844 616657305 822209740 1233314610 2466629220