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2444232252 = 2237115095197
BaseRepresentation
bin1001000110110000…
…0000011000111100
320022100020212022110
42101230000120330
520001210413002
61042312214020
7114366426360
oct22154003074
96270225273
102444232252
111044783960
1258269a310
132cc504997
141928952a0
15e48b1e6c
hex91b0063c

2444232252 has 96 divisors (see below), whose sum is σ = 7125834240. Its totient is φ = 633496320.

The previous prime is 2444232233. The next prime is 2444232253. The reversal of 2444232252 is 2522324442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444232253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467718 + ... + 472914.

It is an arithmetic number, because the mean of its divisors is an integer number (74227440).

Almost surely, 22444232252 is an apocalyptic number.

2444232252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444232252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562917120).

2444232252 is an abundant number, since it is smaller than the sum of its proper divisors (4681601988).

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

2444232252 is a wasteful number, since it uses less digits than its factorization.

2444232252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5731 (or 5729 counting only the distinct ones).

The product of its digits is 30720, while the sum is 30.

The square root of 2444232252 is about 49439.1772989802. The cubic root of 2444232252 is about 1347.0410275371.

Adding to 2444232252 its reverse (2522324442), we get a palindrome (4966556694).

The spelling of 2444232252 in words is "two billion, four hundred forty-four million, two hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 509 924 1018 1527 2036 3054 3563 5197 5599 6108 7126 10394 10689 11198 14252 15591 16797 20788 21378 22396 31182 33594 36379 39193 42756 57167 62364 67188 72758 78386 109137 114334 117579 145516 156772 171501 218274 228668 235158 343002 400169 436548 470316 686004 800338 1200507 1600676 2401014 2645273 4802028 5290546 7935819 10581092 15871638 18516911 29098003 31743276 37033822 55550733 58196006 74067644 87294009 111101466 116392012 174588018 203686021 222202932 349176036 407372042 611058063 814744084 1222116126 2444232252