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2196195456 = 273713173697
BaseRepresentation
bin1000001011100111…
…0100100010000000
312200001112021210110
42002321310202000
513444211223311
61001532031320
7105265232130
oct20271644200
95601467713
102196195456
11a27771174
12513602540
1328cccba50
1416b96aac0
15ccc198a6
hex82e74880

2196195456 has 256 divisors, whose sum is σ = 7604271360. Its totient is φ = 544997376.

The previous prime is 2196195401. The next prime is 2196195467. The reversal of 2196195456 is 6545916912.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592200 + ... + 595896.

It is an arithmetic number, because the mean of its divisors is an integer number (29704185).

Almost surely, 22196195456 is an apocalyptic number.

2196195456 is a gapful number since it is divisible by the number (26) 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 2196195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802135680).

2196195456 is an abundant number, since it is smaller than the sum of its proper divisors (5408075904).

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

2196195456 is a wasteful number, since it uses less digits than its factorization.

2196195456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3739 counting only the distinct ones).

The product of its digits is 583200, while the sum is 48.

The square root of 2196195456 is about 46863.5834737379. The cubic root of 2196195456 is about 1299.8412934461.

The spelling of 2196195456 in words is "two billion, one hundred ninety-six million, one hundred ninety-five thousand, four hundred fifty-six".