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1997245800 = 23325211195309
BaseRepresentation
bin111011100001011…
…1000110101101000
312011012011121011200
41313002320311220
513042243331200
6530103524200
7100331211024
oct16702706550
95135147150
101997245800
11935436370
12478a59660
1325aa21864
1414d37d384
15ba51b800
hex770b8d68

1997245800 has 288 divisors, whose sum is σ = 7703748000. Its totient is φ = 458611200.

The previous prime is 1997245793. The next prime is 1997245823. The reversal of 1997245800 is 85427991.

1997245800 is a `hidden beast` number, since 199 + 7 + 2 + 458 + 0 + 0 = 666.

1997245800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×19972458005 (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 373546 + ... + 378854.

It is an arithmetic number, because the mean of its divisors is an integer number (26749125).

Almost surely, 21997245800 is an apocalyptic number.

1997245800 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 1997245800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3851874000).

1997245800 is an abundant number, since it is smaller than the sum of its proper divisors (5706502200).

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

1997245800 is a wasteful number, since it uses less digits than its factorization.

1997245800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1997245800 is about 44690.5560493489. The cubic root of 1997245800 is about 1259.3424384523.

The spelling of 1997245800 in words is "one billion, nine hundred ninety-seven million, two hundred forty-five thousand, eight hundred".