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2253116437 = 1121317109773
BaseRepresentation
bin1000011001001011…
…1101010000010101
312211000122011200221
42012102331100111
514103244211222
61011324034341
7106556113405
oct20622752025
95730564627
102253116437
11a56909800
1252a6929b1
1329ba3b3c0
14175346805
15d2c100c7
hex864bd415

2253116437 has 48 divisors (see below), whose sum is σ = 2853552240. Its totient is φ = 1760901120.

The previous prime is 2253116431. The next prime is 2253116449. The reversal of 2253116437 is 7346113522.

It can be written as a sum of positive squares in 8 ways, for example, as 99321156 + 2153795281 = 9966^2 + 46409^2 .

It is not a de Polignac number, because 2253116437 - 211 = 2253114389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253116431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2914383 + ... + 2915155.

It is an arithmetic number, because the mean of its divisors is an integer number (59449005).

Almost surely, 22253116437 is an apocalyptic number.

It is an amenable number.

2253116437 is a deficient number, since it is larger than the sum of its proper divisors (600435803).

2253116437 is a wasteful number, since it uses less digits than its factorization.

2253116437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 923 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 2253116437 is about 47467.0036657045. The cubic root of 2253116437 is about 1310.9754087723.

Adding to 2253116437 its reverse (7346113522), we get a palindrome (9599229959).

The spelling of 2253116437 in words is "two billion, two hundred fifty-three million, one hundred sixteen thousand, four hundred thirty-seven".

Divisors: 1 11 13 17 109 121 143 187 221 773 1199 1417 1573 1853 2057 2431 8503 10049 13141 13189 15587 20383 24089 26741 84257 93533 110539 144551 170833 171457 224213 264979 926827 1095341 1215929 1432369 1590061 1879163 2914769 10195097 12048751 15756059 18620797 20670793 132536261 173316649 204828767 2253116437