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1122055168 = 21013312719
BaseRepresentation
bin100001011100001…
…0011010000000000
32220012100022022211
41002320103100000
54244221231133
6303201311504
736543211603
oct10270232000
92805308284
101122055168
11526409723
12273935594
1314b603690
14a904033a
1568790bcd
hex42e13400

1122055168 has 88 divisors (see below), whose sum is σ = 2494392320. Its totient is φ = 500981760.

The previous prime is 1122055141. The next prime is 1122055169. The reversal of 1122055168 is 8615502211.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122055169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411313 + ... + 414031.

Almost surely, 21122055168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122055168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247196160).

1122055168 is an abundant number, since it is smaller than the sum of its proper divisors (1372337152).

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

1122055168 is a wasteful number, since it uses less digits than its factorization.

1122055168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 1122055168 is about 33497.0919334798. The cubic root of 1122055168 is about 1039.1336374593.

Adding to 1122055168 its reverse (8615502211), we get a palindrome (9737557379).

The spelling of 1122055168 in words is "one billion, one hundred twenty-two million, fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 208 248 256 403 416 496 512 806 832 992 1024 1612 1664 1984 2719 3224 3328 3968 5438 6448 6656 7936 10876 12896 13312 15872 21752 25792 31744 35347 43504 51584 70694 84289 87008 103168 141388 168578 174016 206336 282776 337156 348032 412672 565552 674312 696064 1095757 1131104 1348624 1392128 2191514 2262208 2697248 2784256 4383028 4524416 5394496 8766056 9048832 10788992 17532112 18097664 21577984 35064224 36195328 43155968 70128448 86311936 140256896 280513792 561027584 1122055168