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1122220092 = 223753833037
BaseRepresentation
bin100001011100011…
…1011100000111100
32220012122200120010
41002320323200330
54244242020332
6303205023220
736544466460
oct10270734074
92805580503
101122220092
11526511624
122739b4b10
1314b660776
14a90844a0
15687c49cc
hex42e3b83c

1122220092 has 96 divisors (see below), whose sum is σ = 3086802432. Its totient is φ = 310692096.

The previous prime is 1122220087. The next prime is 1122220093. The reversal of 1122220092 is 2900222211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122220093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367998 + ... + 371034.

It is an arithmetic number, because the mean of its divisors is an integer number (32154192).

Almost surely, 21122220092 is an apocalyptic number.

1122220092 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 1122220092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543401216).

1122220092 is an abundant number, since it is smaller than the sum of its proper divisors (1964582340).

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

1122220092 is a wasteful number, since it uses less digits than its factorization.

1122220092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1122220092 is about 33499.5536089662. The cubic root of 1122220092 is about 1039.1845469229.

The spelling of 1122220092 in words is "one billion, one hundred twenty-two million, two hundred twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 83 84 106 159 166 212 249 318 332 371 498 581 636 742 996 1113 1162 1484 1743 2226 2324 3037 3486 4399 4452 6074 6972 8798 9111 12148 13197 17596 18222 21259 26394 30793 36444 42518 52788 61586 63777 85036 92379 123172 127554 160961 184758 252071 255108 321922 369516 482883 504142 643844 756213 965766 1008284 1126727 1512426 1764497 1931532 2253454 3024852 3380181 3528994 4506908 5293491 6760362 7057988 10586982 13359763 13520724 21173964 26719526 40079289 53439052 80158578 93518341 160317156 187036682 280555023 374073364 561110046 1122220092