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1831221840 = 243571090013
BaseRepresentation
bin110110100100110…
…0011101001010000
311201121202201010010
41231021203221100
512222243044330
6501413234520
763244062120
oct15511435120
94647681103
101831221840
1185a74a088
12431332a40
13232502226
141352c2c80
15aab743b0
hex6d263a50

1831221840 has 80 divisors (see below), whose sum is σ = 6487763328. Its totient is φ = 418564608.

The previous prime is 1831221829. The next prime is 1831221851. The reversal of 1831221840 is 481221381.

1831221840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1831221829) and next prime (1831221851).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1831221798 and 1831221807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543327 + ... + 546686.

Almost surely, 21831221840 is an apocalyptic number.

1831221840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1831221840 is an abundant number, since it is smaller than the sum of its proper divisors (4656541488).

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

1831221840 is a wasteful number, since it uses less digits than its factorization.

1831221840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090036 (or 1090030 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1831221840 is about 42792.7778953412. Note that the first 3 decimals coincide. The cubic root of 1831221840 is about 1223.4333636787.

The spelling of 1831221840 in words is "one billion, eight hundred thirty-one million, two hundred twenty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 1090013 2180026 3270039 4360052 5450065 6540078 7630091 8720104 10900130 13080156 15260182 16350195 17440208 21800260 22890273 26160312 30520364 32700390 38150455 43600520 45780546 52320624 61040728 65400780 76300910 87201040 91561092 114451365 122081456 130801560 152601820 183122184 228902730 261603120 305203640 366244368 457805460 610407280 915610920 1831221840