Search a number
-
+
5222252400 = 2435242110337
BaseRepresentation
bin1001101110100010…
…10011111101110000
3111110221120220112120
410313101103331300
541143344034100
62222110554240
7243261261441
oct46721237560
914427526476
105222252400
11223a909582
121018b08980
13652c075a1
143777d72c8
152087090a0
hex137453f70

5222252400 has 120 divisors (see below), whose sum is σ = 16769972784. Its totient is φ = 1389158400.

The previous prime is 5222252333. The next prime is 5222252411. The reversal of 5222252400 is 42522225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 500032 + ... + 510368.

Almost surely, 25222252400 is an apocalyptic number.

5222252400 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 5222252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384986392).

5222252400 is an abundant number, since it is smaller than the sum of its proper divisors (11547720384).

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

5222252400 is a wasteful number, since it uses less digits than its factorization.

5222252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10779 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5222252400 is about 72265.1534281911. The cubic root of 5222252400 is about 1734.9459630428.

Adding to 5222252400 its reverse (42522225), we get a palindrome (5264774625).

The spelling of 5222252400 in words is "five billion, two hundred twenty-two million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 421 600 842 1200 1263 1684 2105 2526 3368 4210 5052 6315 6736 8420 10104 10337 10525 12630 16840 20208 20674 21050 25260 31011 31575 33680 41348 42100 50520 51685 62022 63150 82696 84200 101040 103370 124044 126300 155055 165392 168400 206740 248088 252600 258425 310110 413480 496176 505200 516850 620220 775275 826960 1033700 1240440 1550550 2067400 2480880 3101100 4134800 4351877 6202200 8703754 12404400 13055631 17407508 21759385 26111262 34815016 43518770 52222524 65278155 69630032 87037540 104445048 108796925 130556310 174075080 208890096 217593850 261112620 326390775 348150160 435187700 522225240 652781550 870375400 1044450480 1305563100 1740750800 2611126200 5222252400