Search a number
-
+
5355224820 = 22335111635531
BaseRepresentation
bin1001111110011001…
…00011111011110100
3111211012210121102000
410333030203323310
541431414143240
62243221015300
7246464442231
oct47714437364
914735717360
105355224820
1122a8980740
121055554530
13674623caa
1438b32c788
15215223430
hex13f323ef4

5355224820 has 192 divisors, whose sum is σ = 18290119680. Its totient is φ = 1290038400.

The previous prime is 5355224789. The next prime is 5355224821. The reversal of 5355224820 is 284225535.

It is a happy number.

5355224820 is a `hidden beast` number, since 5 + 3 + 552 + 24 + 82 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5355224821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965455 + ... + 970985.

It is an arithmetic number, because the mean of its divisors is an integer number (95261040).

Almost surely, 25355224820 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 5355224820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145059840).

5355224820 is an abundant number, since it is smaller than the sum of its proper divisors (12934894860).

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

5355224820 is a wasteful number, since it uses less digits than its factorization.

5355224820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5715 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5355224820 is about 73179.4016100159. The cubic root of 5355224820 is about 1749.5481630770.

The spelling of 5355224820 in words is "five billion, three hundred fifty-five million, two hundred twenty-four thousand, eight hundred twenty".