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2252507472 = 243261347739
BaseRepresentation
bin1000011001000010…
…1000100101010000
312210222111020100200
42012100220211100
514103120214342
61011303015200
7106550666115
oct20620504520
95728436320
102252507472
11a56533226
1252a43a500
1329b887177
1417522890c
15d2b3e94c
hex86428950

2252507472 has 120 divisors (see below), whose sum is σ = 6434394720. Its totient is φ = 735402240.

The previous prime is 2252507449. The next prime is 2252507479. The reversal of 2252507472 is 2747052522.

It is a super-2 number, since 2×22525074722 = 10147579822831661568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252507479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3047679 + ... + 3048417.

It is an arithmetic number, because the mean of its divisors is an integer number (53619956).

Almost surely, 22252507472 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 2252507472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217197360).

2252507472 is an abundant number, since it is smaller than the sum of its proper divisors (4181887248).

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

2252507472 is a wasteful number, since it uses less digits than its factorization.

2252507472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2252507472 is about 47460.5886183473. The cubic root of 2252507472 is about 1310.8572894034.

Adding to 2252507472 its reverse (2747052522), we get a palindrome (4999559994).

The spelling of 2252507472 in words is "two billion, two hundred fifty-two million, five hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 347 366 488 549 694 732 739 976 1041 1098 1388 1464 1478 2082 2196 2217 2776 2928 2956 3123 4164 4392 4434 5552 5912 6246 6651 8328 8784 8868 11824 12492 13302 16656 17736 21167 24984 26604 35472 42334 45079 49968 53208 63501 84668 90158 106416 127002 135237 169336 180316 190503 254004 256433 270474 338672 360632 381006 405711 508008 512866 540948 721264 762012 769299 811422 1016016 1025732 1081896 1524024 1538598 1622844 2051464 2163792 2307897 3048048 3077196 3245688 4102928 4615794 6154392 6491376 9231588 12308784 15642413 18463176 31284826 36926352 46927239 62569652 93854478 125139304 140781717 187708956 250278608 281563434 375417912 563126868 750835824 1126253736 2252507472