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199252200000 = 26355747441
BaseRepresentation
bin1011100110010001011…
…0110100101001000000
3201001022020011111202010
42321210112310221000
511231032030400000
6231311334052520
720252440520040
oct2714426645100
9631266144663
10199252200000
1177558743a77
12327491aa140
1315a35414b79
149902a63720
1552b29add50
hex2e645b4a40

199252200000 has 336 divisors, whose sum is σ = 753093548928. Its totient is φ = 45542400000.

The previous prime is 199252199981. The next prime is 199252200041. The reversal of 199252200000 is 2252991.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4176280 + ... + 4223720.

It is an arithmetic number, because the mean of its divisors is an integer number (2241349848).

Almost surely, 2199252200000 is an apocalyptic number.

199252200000 is a gapful number since it is divisible by the number (10) 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 199252200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376546774464).

199252200000 is an abundant number, since it is smaller than the sum of its proper divisors (553841348928).

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

199252200000 is an frugal number, since it uses more digits than its factorization.

199252200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47488 (or 47458 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

Adding to 199252200000 its reverse (2252991), we get a palindrome (199254452991).

The spelling of 199252200000 in words is "one hundred ninety-nine billion, two hundred fifty-two million, two hundred thousand".