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2162341480 = 2351321791787
BaseRepresentation
bin1000000011100010…
…1011011001101000
312120200211022212111
42000320223121220
513412024411410
6554322252104
7104404412365
oct20070533150
95520738774
102162341480
11a0a649182
125041b7034
13285ca7800
1416727746c
15c9c7db8a
hex80e2b668

2162341480 has 96 divisors (see below), whose sum is σ = 5300704800. Its totient is φ = 793498368.

The previous prime is 2162341429. The next prime is 2162341507. The reversal of 2162341480 is 841432612.

It is a super-2 number, since 2×21623414802 = 9351441352257180800, which contains 22 as substring.

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, 1209147 + ... + 1210933.

It is an arithmetic number, because the mean of its divisors is an integer number (55215675).

Almost surely, 22162341480 is an apocalyptic number.

2162341480 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 2162341480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650352400).

2162341480 is an abundant number, since it is smaller than the sum of its proper divisors (3138363320).

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

2162341480 is a wasteful number, since it uses less digits than its factorization.

2162341480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 2162341480 is about 46500.9836455101. The cubic root of 2162341480 is about 1293.1277347630.

The spelling of 2162341480 in words is "two billion, one hundred sixty-two million, three hundred forty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 179 260 338 358 520 676 716 845 895 1352 1432 1690 1787 1790 2327 3380 3574 3580 4654 6760 7148 7160 8935 9308 11635 14296 17870 18616 23231 23270 30251 35740 46462 46540 60502 71480 92924 93080 116155 121004 151255 185848 232310 242008 302003 302510 319873 464620 604006 605020 639746 929240 1208012 1210040 1279492 1510015 1599365 2416024 2558984 3020030 3198730 4158349 6040060 6397460 8316698 12080120 12794920 16633396 20791745 33266792 41583490 54058537 83166980 108117074 166333960 216234148 270292685 432468296 540585370 1081170740 2162341480