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2199960040 = 235531278171
BaseRepresentation
bin1000001100100000…
…1011100111101000
312200022121112211111
42003020023213220
514001142210130
61002144440104
7105342231445
oct20310134750
95608545744
102199960040
11a299025a3
12514919034
13290a19405
1416c26a9cc
15cd21002a
hex8320b9e8

2199960040 has 64 divisors (see below), whose sum is σ = 5083637760. Its totient is φ = 856477440.

The previous prime is 2199959999. The next prime is 2199960041. The reversal of 2199960040 is 400699912.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2199959975 and 2199960002.

It is not an unprimeable number, because it can be changed into a prime (2199960041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 265155 + ... + 273325.

It is an arithmetic number, because the mean of its divisors is an integer number (79431840).

Almost surely, 22199960040 is an apocalyptic number.

2199960040 is a gapful number since it is divisible by the number (20) 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 2199960040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541818880).

2199960040 is an abundant number, since it is smaller than the sum of its proper divisors (2883677720).

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

2199960040 is a wasteful number, since it uses less digits than its factorization.

2199960040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 2199960040 is about 46903.7316212687. The cubic root of 2199960040 is about 1300.5835723137.

The spelling of 2199960040 in words is "two billion, one hundred ninety-nine million, nine hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 127 212 254 265 424 508 530 635 1016 1060 1270 2120 2540 5080 6731 8171 13462 16342 26924 32684 33655 40855 53848 65368 67310 81710 134620 163420 269240 326840 433063 866126 1037717 1732252 2075434 2165315 3464504 4150868 4330630 5188585 8301736 8661260 10377170 17322520 20754340 41508680 54999001 109998002 219996004 274995005 439992008 549990010 1099980020 2199960040