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2252525952 = 27310356951
BaseRepresentation
bin1000011001000010…
…1101000110000000
312210222112011201010
42012100231012000
514103121312302
61011303240520
7106551104025
oct20620550600
95728464633
102252525952
11a565460a6
1252a449140
1329b8926c1
1417523154c
15d2b4516c
hex8642d180

2252525952 has 64 divisors (see below), whose sum is σ = 6041468160. Its totient is φ = 743539200.

The previous prime is 2252525927. The next prime is 2252525963. The reversal of 2252525952 is 2595252522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2252525952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11077 + ... + 68027.

It is an arithmetic number, because the mean of its divisors is an integer number (94397940).

Almost surely, 22252525952 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 2252525952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020734080).

2252525952 is an abundant number, since it is smaller than the sum of its proper divisors (3788942208).

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

2252525952 is a wasteful number, since it uses less digits than its factorization.

2252525952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57071 (or 57059 counting only the distinct ones).

The product of its digits is 180000, while the sum is 39.

The square root of 2252525952 is about 47460.7833057989. The cubic root of 2252525952 is about 1310.8608742345.

The spelling of 2252525952 in words is "two billion, two hundred fifty-two million, five hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 56951 113902 170853 227804 341706 455608 683412 911216 1366824 1822432 2733648 3644864 5467296 5865953 7289728 10934592 11731906 17597859 21869184 23463812 35195718 46927624 70391436 93855248 140782872 187710496 281565744 375420992 563131488 750841984 1126262976 2252525952