Search a number
-
+
5399222400 = 27335211131923
BaseRepresentation
bin1010000011101000…
…11001100010000000
3111221021120220202000
411001310121202000
542024200104100
62251432024000
7250540430115
oct50164314200
914837526660
105399222400
1123207a1780
121068232000
1368078a270
1439310290c
15219014900
hex141d19880

5399222400 has 1536 divisors, whose sum is σ = 25498368000. Its totient is φ = 1094860800.

The previous prime is 5399222399. The next prime is 5399222417. The reversal of 5399222400 is 42229935.

5399222400 is a `hidden beast` number, since 5 + 399 + 22 + 240 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 234748789 + ... + 234748811.

It is an arithmetic number, because the mean of its divisors is an integer number (16600500).

Almost surely, 25399222400 is an apocalyptic number.

5399222400 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 5399222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184000).

5399222400 is an abundant number, since it is smaller than the sum of its proper divisors (20099145600).

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

5399222400 is a wasteful number, since it uses less digits than its factorization.

5399222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5399222400 is about 73479.4011951649. The cubic root of 5399222400 is about 1754.3264271744.

The spelling of 5399222400 in words is "five billion, three hundred ninety-nine million, two hundred twenty-two thousand, four hundred".