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1224020196 = 223276172
BaseRepresentation
bin100100011110101…
…0001000011100100
310011022012200001100
41020331101003210
510001322121241
6321243000100
742222000000
oct11075210344
93138180040
101224020196
11578a22543
122a1b09030
13166784709
14b87c3700
15726d29b6
hex48f510e4

1224020196 has 189 divisors, whose sum is σ = 3834548809. Its totient is φ = 329148288.

The previous prime is 1224020183. The next prime is 1224020219. The reversal of 1224020196 is 6910204221.

The square root of 1224020196 is 34986.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 952956900 + 271063296 = 30870^2 + 16464^2 .

1224020196 is a modest number, since divided by 20196 gives 1224 as remainder.

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 72001180 + ... + 72001196.

Almost surely, 21224020196 is an apocalyptic number.

1224020196 is the 34986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224020196

1224020196 is an abundant number, since it is smaller than the sum of its proper divisors (2610528613).

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

1224020196 is an frugal number, since it uses more digits than its factorization.

1224020196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 1224020196 is about 1069.7021315449.

The spelling of 1224020196 in words is "one billion, two hundred twenty-four million, twenty thousand, one hundred ninety-six".