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2193350400 = 2834524231
BaseRepresentation
bin1000001010111011…
…1101111100000000
312122212011202010000
42002232331330000
513442444203100
61001351040000
7105232112403
oct20256757400
95585152100
102193350400
11a260a868a
12512670000
1328c543a97
1416b429d3a
15cc856900
hex82bbdf00

2193350400 has 270 divisors, whose sum is σ = 8111732552. Its totient is φ = 584755200.

The previous prime is 2193350381. The next prime is 2193350413. The reversal of 2193350400 is 40533912.

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 516285 + ... + 520515.

Almost surely, 22193350400 is an apocalyptic number.

2193350400 is a gapful number since it is divisible by the number (20) 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 2193350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055866276).

2193350400 is an abundant number, since it is smaller than the sum of its proper divisors (5918382152).

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

2193350400 is an equidigital number, since it uses as much as digits as its factorization.

2193350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2193350400 is about 46833.2189796943. The cubic root of 2193350400 is about 1299.2797588282.

The spelling of 2193350400 in words is "two billion, one hundred ninety-three million, three hundred fifty thousand, four hundred".