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2252213125 = 5417237337
BaseRepresentation
bin1000011000111110…
…0000101110000101
312210221221021120221
42012033200232011
514103031310000
61011252424341
7106545332011
oct20617405605
95727837527
102252213125
11a56352068
1252a3180b1
1329b7b31b6
1417518d541
15d2ad261a
hex863e0b85

2252213125 has 60 divisors (see below), whose sum is σ = 3079567348. Its totient is φ = 1645056000.

The previous prime is 2252213101. The next prime is 2252213149. The reversal of 2252213125 is 5213122522.

It is an interprime number because it is at equal distance from previous prime (2252213101) and next prime (2252213149).

It can be written as a sum of positive squares in 30 ways, for example, as 2220200161 + 32012964 = 47119^2 + 5658^2 .

It is not a de Polignac number, because 2252213125 - 231 = 104729477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2252213125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6682957 + ... + 6683293.

Almost surely, 22252213125 is an apocalyptic number.

2252213125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2252213125 is a deficient number, since it is larger than the sum of its proper divisors (827354223).

2252213125 is an equidigital number, since it uses as much as digits as its factorization.

2252213125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 396 counting only the distinct ones).

The product of its digits is 2400, while the sum is 25.

The square root of 2252213125 is about 47457.4875546525. The cubic root of 2252213125 is about 1310.8001880436.

Adding to 2252213125 its reverse (5213122522), we get a palindrome (7465335647).

The spelling of 2252213125 in words is "two billion, two hundred fifty-two million, two hundred thirteen thousand, one hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 289 337 425 625 629 925 1445 1685 2125 3145 4625 5729 7225 8425 10625 10693 12469 15725 23125 28645 36125 42125 53465 62345 78625 97393 143225 180625 210625 211973 267325 311725 393125 486965 716125 1059865 1336625 1558625 2434825 3580625 3603541 5299325 6683125 7793125 12174125 18017705 26496625 60870625 90088525 132483125 450442625 2252213125