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2181988352 = 215173917
BaseRepresentation
bin1000001000001110…
…1000000000000000
312122001210111022102
42002003220000000
513432042111402
61000303325532
7105033411035
oct20203500000
95561714272
102181988352
11a1a748165
1250a8b08a8
1328a09628b
14169b0d38c
15cb860102
hex820e8000

2181988352 has 64 divisors (see below), whose sum is σ = 4621790340. Its totient is φ = 1026555904.

The previous prime is 2181988349. The next prime is 2181988373. The reversal of 2181988352 is 2538891812.

It can be written as a sum of positive squares in 2 ways, for example, as 1972781056 + 209207296 = 44416^2 + 14464^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21819883522 = 9522146336527351808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2181988297 and 2181988306.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 555098 + ... + 559014.

Almost surely, 22181988352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310895170).

2181988352 is an abundant number, since it is smaller than the sum of its proper divisors (2439801988).

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

2181988352 is an frugal number, since it uses more digits than its factorization.

2181988352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3936 counting only the distinct ones).

The product of its digits is 276480, while the sum is 47.

The square root of 2181988352 is about 46711.7581771442. The cubic root of 2181988352 is about 1297.0323532782.

The spelling of 2181988352 in words is "two billion, one hundred eighty-one million, nine hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1024 1088 2048 2176 3917 4096 4352 7834 8192 8704 15668 16384 17408 31336 32768 34816 62672 66589 69632 125344 133178 139264 250688 266356 278528 501376 532712 557056 1002752 1065424 2005504 2130848 4011008 4261696 8022016 8523392 16044032 17046784 32088064 34093568 64176128 68187136 128352256 136374272 272748544 545497088 1090994176 2181988352