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1122310992 = 243115413929
BaseRepresentation
bin100001011100101…
…0001101101010000
32220012211022020210
41002321101231100
54244302422432
6303211004120
736545325465
oct10271215520
92805738223
101122310992
11526573950
12273a39640
1314b692c5a
14a90a966c
15687e18cc
hex42e51b50

1122310992 has 80 divisors (see below), whose sum is σ = 3169529280. Its totient is φ = 339379200.

The previous prime is 1122310957. The next prime is 1122310993. The reversal of 1122310992 is 2990132211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122310993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283684 + ... + 287612.

It is an arithmetic number, because the mean of its divisors is an integer number (39619116).

Almost surely, 21122310992 is an apocalyptic number.

1122310992 is a gapful number since it is divisible by the number (12) 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 1122310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584764640).

1122310992 is an abundant number, since it is smaller than the sum of its proper divisors (2047218288).

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

1122310992 is a wasteful number, since it uses less digits than its factorization.

1122310992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4492 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 1122310992 is about 33500.9103159899. The cubic root of 1122310992 is about 1039.2126042014.

The spelling of 1122310992 in words is "one billion, one hundred twenty-two million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 541 1082 1623 2164 3246 3929 4328 5951 6492 7858 8656 11787 11902 12984 15716 17853 23574 23804 25968 31432 35706 43219 47148 47608 62864 71412 86438 94296 95216 129657 142824 172876 188592 259314 285648 345752 518628 691504 1037256 2074512 2125589 4251178 6376767 8502356 12753534 17004712 23381479 25507068 34009424 46762958 51014136 70144437 93525916 102028272 140288874 187051832 280577748 374103664 561155496 1122310992