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2001041224 = 237213392669
BaseRepresentation
bin111011101000101…
…0111011101001000
312011110022102111221
41313101113131020
513044231304344
6530321131424
7100405366300
oct16721273510
95143272457
102001041224
11937598986
1247a189b74
1325b750280
1414da8a600
15baa1b184
hex77457748

2001041224 has 48 divisors (see below), whose sum is σ = 4700259900. Its totient is φ = 791618688.

The previous prime is 2001041191. The next prime is 2001041233. The reversal of 2001041224 is 4221401002.

It can be written as a sum of positive squares in 2 ways, for example, as 2000772900 + 268324 = 44730^2 + 518^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001041198 and 2001041207.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 191239 + ... + 201430.

Almost surely, 22001041224 is an apocalyptic number.

It is an amenable number.

2001041224 is an abundant number, since it is smaller than the sum of its proper divisors (2699218676).

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

2001041224 is a wasteful number, since it uses less digits than its factorization.

2001041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392702 (or 392691 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2001041224 is about 44732.9992734670. Note that the first 3 decimals coincide. The cubic root of 2001041224 is about 1260.1396553023.

Adding to 2001041224 its reverse (4221401002), we get a palindrome (6222442226).

The spelling of 2001041224 in words is "two billion, one million, forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 392669 785338 1570676 2748683 3141352 5104697 5497366 10209394 10994732 19240781 20418788 21989464 35732879 38481562 40837576 71465758 76963124 142931516 153926248 250130153 285863032 500260306 1000520612 2001041224