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5220954900 = 22335272193167
BaseRepresentation
bin1001101110011000…
…10111001100010100
3111110212010222201000
410313030113030110
541143031024100
62222023103300
7243244245600
oct46714271424
914425128630
105220954900
11223a102767
1210185a1b30
13652871b35
1437757a500
1520854e900
hex137317314

5220954900 has 864 divisors, whose sum is σ = 21531955200. Its totient is φ = 1077753600.

The previous prime is 5220954877. The next prime is 5220954961. The reversal of 5220954900 is 94590225.

It is a happy number.

5220954900 is a `hidden beast` number, since 522 + 0 + 95 + 49 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77924667 + ... + 77924733.

Almost surely, 25220954900 is an apocalyptic number.

5220954900 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 5220954900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765977600).

5220954900 is an abundant number, since it is smaller than the sum of its proper divisors (16311000300).

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

5220954900 is a wasteful number, since it uses less digits than its factorization.

5220954900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5220954900 is about 72256.1755146230. The cubic root of 5220954900 is about 1734.8022652235.

The spelling of 5220954900 in words is "five billion, two hundred twenty million, nine hundred fifty-four thousand, nine hundred".