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2216141040 = 243529993079
BaseRepresentation
bin1000010000010111…
…1010000011110000
312201110001121222210
42010011322003300
514014313003130
61003523332120
7105626613411
oct20405720360
95643047883
102216141040
11a37a54623
1251a221040
13294193479
1417047d808
15ce8595b0
hex8417a0f0

2216141040 has 80 divisors (see below), whose sum is σ = 6874560000. Its totient is φ = 590582016.

The previous prime is 2216140973. The next prime is 2216141047. The reversal of 2216141040 is 401416122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×22161410402 = 9822562218344563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2216140998 and 2216141016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216141047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718221 + ... + 721299.

It is an arithmetic number, because the mean of its divisors is an integer number (85932000).

Almost surely, 22216141040 is an apocalyptic number.

2216141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2216141040 is an abundant number, since it is smaller than the sum of its proper divisors (4658418960).

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

2216141040 is a wasteful number, since it uses less digits than its factorization.

2216141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6094 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2216141040 is about 47075.9072137755. The cubic root of 2216141040 is about 1303.7644417494.

Adding to 2216141040 its reverse (401416122), we get a palindrome (2617557162).

The spelling of 2216141040 in words is "two billion, two hundred sixteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2999 3079 5998 6158 8997 9237 11996 12316 14995 15395 17994 18474 23992 24632 29990 30790 35988 36948 44985 46185 47984 49264 59980 61580 71976 73896 89970 92370 119960 123160 143952 147792 179940 184740 239920 246320 359880 369480 719760 738960 9233921 18467842 27701763 36935684 46169605 55403526 73871368 92339210 110807052 138508815 147742736 184678420 221614104 277017630 369356840 443228208 554035260 738713680 1108070520 2216141040