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2270342382 = 23741114327
BaseRepresentation
bin1000011101010010…
…1010110011101110
312212020001100020220
42013110222303232
514122201424012
61013141152210
7110155410000
oct20724526356
95766040226
102270342382
11a65604920
125343bb666
132a248cc79
1417774c370
15d44b408c
hex8752acee

2270342382 has 80 divisors (see below), whose sum is σ = 5779112832. Its totient is φ = 589658160.

The previous prime is 2270342341. The next prime is 2270342387. The reversal of 2270342382 is 2832430722.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2270342387) 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 39 ways as a sum of consecutive naturals, for example, 151303 + ... + 165629.

Almost surely, 22270342382 is an apocalyptic number.

2270342382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270342382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889556416).

2270342382 is an abundant number, since it is smaller than the sum of its proper divisors (3508770450).

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

2270342382 is a wasteful number, since it uses less digits than its factorization.

2270342382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14371 (or 14350 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 2270342382 is about 47648.1099520222. The cubic root of 2270342382 is about 1314.3079014539.

The spelling of 2270342382 in words is "two billion, two hundred seventy million, three hundred forty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 462 539 686 1029 1078 1617 2058 2401 3234 3773 4802 7203 7546 11319 14327 14406 22638 26411 28654 42981 52822 79233 85962 100289 157597 158466 200578 300867 315194 472791 601734 702023 945582 1103179 1404046 2106069 2206358 3309537 4212138 4914161 6619074 7722253 9828322 14742483 15444506 23166759 29484966 34399127 46333518 54055771 68798254 103197381 108111542 162167313 206394762 324334626 378390397 756780794 1135171191 2270342382