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2002241232 = 2432174119949
BaseRepresentation
bin111011101010111…
…1100011011010000
312011112120101121200
41313111330123100
513100033204412
6530402551200
7100421524665
oct16725743320
95145511550
102002241232
11938238522
1247a668500
1325ba80534
1414dcbda6c
15baba69dc
hex7757c6d0

2002241232 has 120 divisors (see below), whose sum is σ = 6078126600. Its totient is φ = 612802560.

The previous prime is 2002241221. The next prime is 2002241243. The reversal of 2002241232 is 2321422002.

2002241232 is a `hidden beast` number, since 200 + 22 + 412 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (2002241221) and next prime (2002241243).

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 2000236176 = 1416^2 + 44724^2 .

It is a super-2 number, since 2×20022412322 = 8017939902241755648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90394 + ... + 110342.

It is an arithmetic number, because the mean of its divisors is an integer number (50651055).

Almost surely, 22002241232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3039063300).

2002241232 is an abundant number, since it is smaller than the sum of its proper divisors (4075885368).

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

2002241232 is a wasteful number, since it uses less digits than its factorization.

2002241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20021 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2002241232 is about 44746.4102694283. The cubic root of 2002241232 is about 1260.3915034351.

Adding to 2002241232 its reverse (2321422002), we get a palindrome (4323663234).

The spelling of 2002241232 in words is "two billion, two million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 306 328 369 408 492 612 656 697 738 816 984 1224 1394 1476 1968 2091 2448 2788 2952 4182 5576 5904 6273 8364 11152 12546 16728 19949 25092 33456 39898 50184 59847 79796 100368 119694 159592 179541 239388 319184 339133 359082 478776 678266 718164 817909 957552 1017399 1356532 1436328 1635818 2034798 2453727 2713064 2872656 3052197 3271636 4069596 4907454 5426128 6104394 6543272 7361181 8139192 9814908 12208788 13086544 13904453 14722362 16278384 19629816 24417576 27808906 29444724 39259632 41713359 48835152 55617812 58889448 83426718 111235624 117778896 125140077 166853436 222471248 250280154 333706872 500560308 667413744 1001120616 2002241232