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5144502200 = 2352374311613
BaseRepresentation
bin1001100101010001…
…01101111110111000
3111021112021210022112
410302220231332320
541013443032300
62210252311452
7241325355455
oct46250557670
914245253275
105144502200
1121aaa34712
12bb6a72588
1363ca84256
1436b35882c
1520199be35
hex132a2dfb8

5144502200 has 96 divisors (see below), whose sum is σ = 12320372160. Its totient is φ = 1996300800.

The previous prime is 5144502151. The next prime is 5144502203. The reversal of 5144502200 is 22054415.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5144502203) 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, 3188594 + ... + 3190206.

It is an arithmetic number, because the mean of its divisors is an integer number (128337210).

Almost surely, 25144502200 is an apocalyptic number.

5144502200 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 5144502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160186080).

5144502200 is an abundant number, since it is smaller than the sum of its proper divisors (7175869960).

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

5144502200 is a wasteful number, since it uses less digits than its factorization.

5144502200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 5144502200 is about 71725.1852559476. The cubic root of 5144502200 is about 1726.2927731213.

Adding to 5144502200 its reverse (22054415), we get a palindrome (5166556615).

The spelling of 5144502200 in words is "five billion, one hundred forty-four million, five hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 431 740 862 925 1480 1613 1724 1850 2155 3226 3448 3700 4310 6452 7400 8065 8620 10775 12904 15947 16130 17240 21550 31894 32260 40325 43100 59681 63788 64520 79735 80650 86200 119362 127576 159470 161300 238724 298405 318940 322600 398675 477448 596810 637880 695203 797350 1193620 1390406 1492025 1594700 2387240 2780812 2984050 3189400 3476015 5561624 5968100 6952030 11936200 13904060 17380075 25722511 27808120 34760150 51445022 69520300 102890044 128612555 139040600 205780088 257225110 514450220 643062775 1028900440 1286125550 2572251100 5144502200