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997243200 = 263252233011
BaseRepresentation
bin111011011100001…
…011100101000000
32120111111012111100
4323130023211000
54020243240300
6242542214400
733466266402
oct7334134500
92514435440
10997243200
11471a10638
12239b84400
1312b7b3445
1496630b72
155c839700
hex3b70b940

997243200 has 252 divisors, whose sum is σ = 3699772128. Its totient is φ = 254284800.

The previous prime is 997243157. The next prime is 997243201. The reversal of 997243200 is 2342799.

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 (997243201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 329695 + ... + 332705.

Almost surely, 2997243200 is an apocalyptic number.

997243200 is a gapful number since it is divisible by the number (90) 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 997243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849886064).

997243200 is an abundant number, since it is smaller than the sum of its proper divisors (2702528928).

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

997243200 is a wasteful number, since it uses less digits than its factorization.

997243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 997243200 is about 31579.1576835102. The cubic root of 997243200 is about 999.0802209325.

Adding to 997243200 its reverse (2342799), we get a palindrome (999585999).

The spelling of 997243200 in words is "nine hundred ninety-seven million, two hundred forty-three thousand, two hundred".