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2252310324 = 2231137676883
BaseRepresentation
bin1000011000111111…
…1000011100110100
312210222010012220220
42012033320130310
514103042412244
61011254454340
7106546215255
oct20617703464
95728105826
102252310324
11a564090a0
1252a3643b0
1329b818504
141751b6b2c
15d2b01319
hex863f8734

2252310324 has 96 divisors (see below), whose sum is σ = 5976854016. Its totient is φ = 654065280.

The previous prime is 2252310299. The next prime is 2252310343. The reversal of 2252310324 is 4230132522.

2252310324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2252310294 and 2252310303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323787 + ... + 330669.

It is an arithmetic number, because the mean of its divisors is an integer number (62258896).

Almost surely, 22252310324 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 2252310324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988427008).

2252310324 is an abundant number, since it is smaller than the sum of its proper divisors (3724543692).

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

2252310324 is a wasteful number, since it uses less digits than its factorization.

2252310324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2252310324 is about 47458.5116075083. The cubic root of 2252310324 is about 1310.8190445532.

Adding to 2252310324 its reverse (4230132522), we get a palindrome (6482442846).

The spelling of 2252310324 in words is "two billion, two hundred fifty-two million, three hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 67 74 111 132 134 148 201 222 268 402 407 444 737 804 814 1221 1474 1628 2211 2442 2479 2948 4422 4884 4958 6883 7437 8844 9916 13766 14874 20649 27269 27532 29748 41298 54538 75713 81807 82596 109076 151426 163614 227139 254671 302852 327228 454278 461161 509342 764013 908556 922322 1018684 1383483 1528026 1844644 2766966 2801381 3056052 5072771 5533932 5602762 8404143 10145542 11205524 15218313 16808286 17062957 20291084 30436626 33616572 34125914 51188871 60873252 68251828 102377742 187692527 204755484 375385054 563077581 750770108 1126155162 2252310324