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1981223104 = 26753181461
BaseRepresentation
bin111011000010111…
…0001000011000000
312010002000120011111
41312011301003000
513024143114404
6524332253104
7100045055440
oct16605610300
95102016144
101981223104
11927392273
12473611194
13257601883
1414b1ac120
15b8e04104
hex761710c0

1981223104 has 112 divisors (see below), whose sum is σ = 4613184576. Its totient is φ = 826675200.

The previous prime is 1981223089. The next prime is 1981223107. The reversal of 1981223104 is 4013221891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×19812231043 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1981223107) 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, 4297434 + ... + 4297894.

It is an arithmetic number, because the mean of its divisors is an integer number (41189148).

Almost surely, 21981223104 is an apocalyptic number.

1981223104 is a gapful number since it is divisible by the number (14) 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 1981223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306592288).

1981223104 is an abundant number, since it is smaller than the sum of its proper divisors (2631961472).

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

1981223104 is a wasteful number, since it uses less digits than its factorization.

1981223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1981223104 is about 44510.9324099148. The cubic root of 1981223104 is about 1255.9657448026.

Adding to 1981223104 its reverse (4013221891), we get a palindrome (5994444995).

The spelling of 1981223104 in words is "one billion, nine hundred eighty-one million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 181 212 224 362 371 424 448 461 724 742 848 922 1267 1448 1484 1696 1844 2534 2896 2968 3227 3392 3688 5068 5792 5936 6454 7376 9593 10136 11584 11872 12908 14752 19186 20272 23744 24433 25816 29504 38372 40544 48866 51632 67151 76744 81088 83441 97732 103264 134302 153488 166882 171031 195464 206528 268604 306976 333764 342062 390928 537208 584087 613952 667528 684124 781856 1074416 1168174 1335056 1368248 1563712 2148832 2336348 2670112 2736496 4297664 4422373 4672696 5340224 5472992 8844746 9345392 10945984 17689492 18690784 30956611 35378984 37381568 61913222 70757968 123826444 141515936 247652888 283031872 495305776 990611552 1981223104