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5022435200 = 275213111981
BaseRepresentation
bin1001010110101110…
…00100011110000000
3110222000121010212112
410223113010132000
540241220411300
62150212114452
7235313665136
oct45327043600
913860533775
105022435200
1121480409a2
12b82005a28
136206b5563
14359061756
151e5dd8e35
hex12b5c4780

5022435200 has 96 divisors (see below), whose sum is σ = 12502737720. Its totient is φ = 1993472000.

The previous prime is 5022435193. The next prime is 5022435211. The reversal of 5022435200 is 25342205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413210 + ... + 425190.

Almost surely, 25022435200 is an apocalyptic number.

5022435200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5022435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6251368860).

5022435200 is an abundant number, since it is smaller than the sum of its proper divisors (7480302520).

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

5022435200 is a wasteful number, since it uses less digits than its factorization.

5022435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12136 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 5022435200 is about 70869.1413804344. The cubic root of 5022435200 is about 1712.5297076914.

Adding to 5022435200 its reverse (25342205), we get a palindrome (5047777405).

The spelling of 5022435200 in words is "five billion, twenty-two million, four hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 131 160 200 262 320 400 524 640 655 800 1048 1310 1600 2096 2620 3200 3275 4192 5240 6550 8384 10480 11981 13100 16768 20960 23962 26200 41920 47924 52400 59905 83840 95848 104800 119810 191696 209600 239620 299525 383392 419200 479240 599050 766784 958480 1198100 1533568 1569511 1916960 2396200 3139022 3833920 4792400 6278044 7667840 7847555 9584800 12556088 15695110 19169600 25112176 31390220 38339200 39237775 50224352 62780440 78475550 100448704 125560880 156951100 200897408 251121760 313902200 502243520 627804400 1004487040 1255608800 2511217600 5022435200