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2196973800 = 2333527219223
BaseRepresentation
bin1000001011110011…
…0010100011101000
312200002222211111000
42002330302203220
513444411130200
61002000435000
7105304653300
oct20274624350
95602884430
102196973800
11a28152a2a
12513918a60
132902120c8
1416bad0600
15ccd20300
hex82f328e8

2196973800 has 864 divisors, whose sum is σ = 9694468800. Its totient is φ = 455051520.

The previous prime is 2196973799. The next prime is 2196973817. The reversal of 2196973800 is 83796912.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 95520589 + ... + 95520611.

It is an arithmetic number, because the mean of its divisors is an integer number (11220450).

Almost surely, 22196973800 is an apocalyptic number.

2196973800 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 2196973800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847234400).

2196973800 is an abundant number, since it is smaller than the sum of its proper divisors (7497495000).

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

2196973800 is a wasteful number, since it uses less digits than its factorization.

2196973800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2196973800 is about 46871.8870966382. The cubic root of 2196973800 is about 1299.9948323266.

The spelling of 2196973800 in words is "two billion, one hundred ninety-six million, nine hundred seventy-three thousand, eight hundred".