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2212269696 = 273271347449
BaseRepresentation
bin1000001111011100…
…1000111010000000
312201011202221111200
42003313020322000
514012320112241
61003304341200
7105551660610
oct20367107200
95634687450
102212269696
11a3584aa6a
12518a74800
13293439330
1416db52a40
15ce3424b6
hex83dc8e80

2212269696 has 384 divisors, whose sum is σ = 8019648000. Its totient is φ = 569769984.

The previous prime is 2212269671. The next prime is 2212269713. The reversal of 2212269696 is 6969622122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 4926880 + ... + 4927328.

It is an arithmetic number, because the mean of its divisors is an integer number (20884500).

Almost surely, 22212269696 is an apocalyptic number.

2212269696 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 2212269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2212269696 is an abundant number, since it is smaller than the sum of its proper divisors (5807378304).

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

2212269696 is a wasteful number, since it uses less digits than its factorization.

2212269696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 2212269696 is about 47034.7711379571. The cubic root of 2212269696 is about 1303.0048236500.

The spelling of 2212269696 in words is "two billion, two hundred twelve million, two hundred sixty-nine thousand, six hundred ninety-six".