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2003235252 = 223312271641
BaseRepresentation
bin111011101100110…
…1111000110110100
312011121102220011020
41313121233012310
513100312012002
6530440141140
7100433135004
oct16731570664
95147386136
102003235252
11938857327
1247aa677b0
1325c03ab05
1415009c004
15bad012bc
hex7766f1b4

2003235252 has 72 divisors (see below), whose sum is σ = 4855245696. Its totient is φ = 642816000.

The previous prime is 2003235217. The next prime is 2003235253. The reversal of 2003235252 is 2525323002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003235253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3124852 + ... + 3125492.

It is an arithmetic number, because the mean of its divisors is an integer number (67433968).

Almost surely, 22003235252 is an apocalyptic number.

It is an amenable number.

2003235252 is an abundant number, since it is smaller than the sum of its proper divisors (2852010444).

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

2003235252 is a wasteful number, since it uses less digits than its factorization.

2003235252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2003235252 is about 44757.5161509215. The cubic root of 2003235252 is about 1260.6000442562.

Adding to 2003235252 its reverse (2525323002), we get a palindrome (4528558254).

The spelling of 2003235252 in words is "two billion, three million, two hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 271 372 542 641 813 961 1084 1282 1626 1922 1923 2564 2883 3252 3844 3846 5766 7692 8401 11532 16802 19871 25203 33604 39742 50406 59613 79484 100812 119226 173711 238452 260431 347422 520862 521133 616001 694844 781293 1041724 1042266 1232002 1562586 1848003 2084532 2464004 3125172 3696006 5385041 7392012 10770082 16155123 21540164 32310246 64620492 166936271 333872542 500808813 667745084 1001617626 2003235252