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2247468036 = 223113223631
BaseRepresentation
bin1000010111110101…
…1010010000000100
312210122000012112220
42011331122100010
514100322434121
61011003012340
7106460106642
oct20575322004
95718005486
102247468036
11a53701000
1252880a0b0
1329a811458
141746b6192
15d24966c6
hex85f5a404

2247468036 has 96 divisors (see below), whose sum is σ = 5803155456. Its totient is φ = 676922400.

The previous prime is 2247468019. The next prime is 2247468049. The reversal of 2247468036 is 6308647422.

It is a super-2 number, since 2×22474680362 = 10102225145683394592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3561441 + ... + 3562071.

It is an arithmetic number, because the mean of its divisors is an integer number (60449536).

Almost surely, 22247468036 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 2247468036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901577728).

2247468036 is an abundant number, since it is smaller than the sum of its proper divisors (3555687420).

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

2247468036 is a wasteful number, since it uses less digits than its factorization.

2247468036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2247468036 is about 47407.4681458523. The cubic root of 2247468036 is about 1309.8789849947.

The spelling of 2247468036 in words is "two billion, two hundred forty-seven million, four hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 223 242 363 446 484 631 669 726 892 1262 1331 1338 1452 1893 2453 2524 2662 2676 3786 3993 4906 5324 6941 7359 7572 7986 9812 13882 14718 15972 20823 26983 27764 29436 41646 53966 76351 80949 83292 107932 140713 152702 161898 229053 281426 296813 305404 323796 422139 458106 562852 593626 839861 844278 890439 916212 1187252 1547843 1679722 1688556 1780878 2519583 3095686 3359444 3561756 4643529 5039166 6191372 9287058 10078332 17026273 18574116 34052546 51078819 68105092 102157638 187289003 204315276 374578006 561867009 749156012 1123734018 2247468036