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2244004120 = 235193779801
BaseRepresentation
bin1000010111000000…
…1100100100011000
312210101111012221201
42011300030210120
514043431112440
61010400443544
7106415502031
oct20560144430
95711435851
102244004120
11a51755566
125276195b4
13299b9a8b7
14174053a88
15d201019a
hex85c0c918

2244004120 has 64 divisors (see below), whose sum is σ = 5458456800. Its totient is φ = 827366400.

The previous prime is 2244004109. The next prime is 2244004141. The reversal of 2244004120 is 214004422.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11781 + ... + 68020.

Almost surely, 22244004120 is an apocalyptic number.

2244004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244004120 is an abundant number, since it is smaller than the sum of its proper divisors (3214452680).

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

2244004120 is a wasteful number, since it uses less digits than its factorization.

2244004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79868 (or 79864 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2244004120 is about 47370.9206159222. The cubic root of 2244004120 is about 1309.2056874963.

Adding to 2244004120 its reverse (214004422), we get a palindrome (2458008542).

The spelling of 2244004120 in words is "two billion, two hundred forty-four million, four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 5624 7030 14060 28120 79801 159602 319204 399005 638408 798010 1516219 1596020 2952637 3032438 3192040 5905274 6064876 7581095 11810548 12129752 14763185 15162190 23621096 29526370 30324380 56100103 59052740 60648760 112200206 118105480 224400412 280500515 448800824 561001030 1122002060 2244004120