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2200006944 = 253211367601
BaseRepresentation
bin1000001100100001…
…0111000100100000
312200022200221011200
42003020113010200
514001200210234
61002145441200
7105342515262
oct20310270440
95608627150
102200006944
11a29934863
12514940200
13290a34875
1416c27db32
15cd21dd99
hex83217120

2200006944 has 72 divisors (see below), whose sum is σ = 6311728332. Its totient is φ = 726835200.

The previous prime is 2200006937. The next prime is 2200006981. The reversal of 2200006944 is 4496000022.

It can be written as a sum of positive squares in 2 ways, for example, as 2191363344 + 8643600 = 46812^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1257 + ... + 66344.

Almost surely, 22200006944 is an apocalyptic number.

2200006944 is a gapful number since it is divisible by the number (24) 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 2200006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155864166).

2200006944 is an abundant number, since it is smaller than the sum of its proper divisors (4111721388).

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

2200006944 is a wasteful number, since it uses less digits than its factorization.

2200006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67730 (or 67719 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2200006944 is about 46904.2316214646. The cubic root of 2200006944 is about 1300.5928152298.

Adding to 2200006944 its reverse (4496000022), we get a palindrome (6696006966).

The spelling of 2200006944 in words is "two billion, two hundred million, six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 5424 8136 10848 16272 32544 67601 135202 202803 270404 405606 540808 608409 811212 1081616 1216818 1622424 2163232 2433636 3244848 4867272 6489696 7638913 9734544 15277826 19469088 22916739 30555652 45833478 61111304 68750217 91666956 122222608 137500434 183333912 244445216 275000868 366667824 550001736 733335648 1100003472 2200006944