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2341141220 = 225117122111
BaseRepresentation
bin1000101110001010…
…1111101011100100
320001011021022000002
42023202233223210
514243313004340
61024150440432
7112005241415
oct21342575344
96034238002
102341141220
11aa1571060
12554063118
132b404b282
14182cdb80c
15da7eb715
hex8b8afae4

2341141220 has 72 divisors (see below), whose sum is σ = 5442522624. Its totient is φ = 838936000.

The previous prime is 2341141207. The next prime is 2341141223. The reversal of 2341141220 is 221411432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2341141192 and 2341141201.

It is not an unprimeable number, because it can be changed into a prime (2341141223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107965 + ... + 1110075.

It is an arithmetic number, because the mean of its divisors is an integer number (75590592).

Almost surely, 22341141220 is an apocalyptic number.

2341141220 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 2341141220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721261312).

2341141220 is an abundant number, since it is smaller than the sum of its proper divisors (3101381404).

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

2341141220 is a wasteful number, since it uses less digits than its factorization.

2341141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2341141220 is about 48385.3409619070. The cubic root of 2341141220 is about 1327.8301854100.

Adding to 2341141220 its reverse (221411432), we get a palindrome (2562552652).

It can be divided in two parts, 23411412 and 20, that added together give a palindrome (23411432).

The spelling of 2341141220 in words is "two billion, three hundred forty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 2111 3124 3905 4222 5041 7810 8444 10082 10555 15620 20164 21110 23221 25205 42220 46442 50410 55451 92884 100820 110902 116105 149881 221804 232210 277255 299762 464420 554510 599524 749405 1109020 1498810 1648691 2997620 3297382 6594764 8243455 10641551 16486910 21283102 32973820 42566204 53207755 106415510 117057061 212831020 234114122 468228244 585285305 1170570610 2341141220