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2255833482 = 237319311861
BaseRepresentation
bin1000011001110101…
…0100100110001010
312211012202012210020
42012131110212022
514104443132412
61011502201310
7106621161000
oct20635244612
95735665706
102255833482
11a583a50a1
1252b583236
1329c480016
14175852a70
15d309a18c
hex8675498a

2255833482 has 128 divisors (see below), whose sum is σ = 5720064000. Its totient is φ = 590587200.

The previous prime is 2255833477. The next prime is 2255833507. The reversal of 2255833482 is 2843385522.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1211232 + ... + 1213092.

It is an arithmetic number, because the mean of its divisors is an integer number (44688000).

Almost surely, 22255833482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255833482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860032000).

2255833482 is an abundant number, since it is smaller than the sum of its proper divisors (3464230518).

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

2255833482 is a wasteful number, since it uses less digits than its factorization.

2255833482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1923 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 2255833482 is about 47495.6153976343. The cubic root of 2255833482 is about 1311.5021678095.

The spelling of 2255833482 in words is "two billion, two hundred fifty-five million, eight hundred thirty-three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 49 57 62 93 98 114 133 147 186 217 266 294 343 399 434 589 651 686 798 931 1029 1178 1302 1519 1767 1861 1862 2058 2793 3038 3534 3722 4123 4557 5583 5586 6517 8246 9114 10633 11166 12369 13027 13034 19551 21266 24738 26054 28861 31899 35359 39081 39102 57691 57722 63798 70718 78162 86583 91189 106077 115382 173073 173166 182378 202027 212154 247513 273567 346146 403837 404054 495026 547134 606081 638323 742539 807674 1096129 1211511 1212162 1276646 1485078 1732591 1914969 2192258 2423022 2826859 3288387 3465182 3829938 5197773 5653718 6576774 7672903 8480577 10395546 12128137 15345806 16961154 19788013 23018709 24256274 36384411 39576026 46037418 53710321 59364039 72768822 107420642 118728078 161130963 322261926 375972247 751944494 1127916741 2255833482