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2213023104 = 27321921027
BaseRepresentation
bin1000001111101000…
…0000110110000000
312201020012012222200
42003322000312000
514013013214404
61003332433200
7105561246255
oct20372006600
95636165880
102213023104
11a36215016
12519178800
13293641236
1416dcab42c
15ce440839
hex83e80d80

2213023104 has 48 divisors (see below), whose sum is σ = 6368207820. Its totient is φ = 737673984.

The previous prime is 2213023103. The next prime is 2213023123. The reversal of 2213023104 is 4013203122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 959362 + ... + 961665.

Almost surely, 22213023104 is an apocalyptic number.

2213023104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2213023104 is an abundant number, since it is smaller than the sum of its proper divisors (4155184716).

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

2213023104 is a wasteful number, since it uses less digits than its factorization.

2213023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921047 (or 1921032 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2213023104 is about 47042.7795097186. The cubic root of 2213023104 is about 1303.1527234652.

Adding to 2213023104 its reverse (4013203122), we get a palindrome (6226226226).

The spelling of 2213023104 in words is "two billion, two hundred thirteen million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1921027 3842054 5763081 7684108 11526162 15368216 17289243 23052324 30736432 34578486 46104648 61472864 69156972 92209296 122945728 138313944 184418592 245891456 276627888 368837184 553255776 737674368 1106511552 2213023104