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2452213494 = 2332329103661
BaseRepresentation
bin1001001000101001…
…1100111011110110
320022220021100112000
42102022130323312
520010231312434
61043155240130
7114524320323
oct22212347366
96286240460
102452213494
111049235325
125852a9046
1330106a703
14193971b4a
15e543bb99
hex9229cef6

2452213494 has 128 divisors (see below), whose sum is σ = 5948467200. Its totient is φ = 746444160.

The previous prime is 2452213459. The next prime is 2452213507. The reversal of 2452213494 is 4943122542.

It is a happy number.

It is a super-3 number, since 3×24522134943 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3709524 + ... + 3710184.

It is an arithmetic number, because the mean of its divisors is an integer number (46472400).

Almost surely, 22452213494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2452213494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974233600).

2452213494 is an abundant number, since it is smaller than the sum of its proper divisors (3496253706).

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

2452213494 is a wasteful number, since it uses less digits than its factorization.

2452213494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 821 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2452213494 is about 49519.8293009982. The cubic root of 2452213494 is about 1348.5056155351.

The spelling of 2452213494 in words is "two billion, four hundred fifty-two million, two hundred thirteen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 27 29 46 54 58 69 87 103 138 174 206 207 261 309 414 522 618 621 661 667 783 927 1242 1322 1334 1566 1854 1983 2001 2369 2781 2987 3966 4002 4738 5562 5949 5974 6003 7107 8961 11898 12006 14214 15203 17847 17922 18009 19169 21321 26883 30406 35694 36018 38338 42642 45609 53766 57507 63963 68083 68701 80649 91218 115014 127926 136166 136827 137402 161298 172521 204249 206103 273654 345042 408498 410481 412206 440887 517563 612747 618309 820962 881774 1035126 1225494 1236618 1322661 1565909 1838241 1854927 1974407 2645322 3131818 3676482 3709854 3948814 3967983 4697727 5923221 7935966 9395454 11846442 11903949 14093181 17769663 23807898 28186362 35539326 42279543 45411361 53308989 84559086 90822722 106617978 136234083 272468166 408702249 817404498 1226106747 2452213494