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1122226560 = 273257132141
BaseRepresentation
bin100001011100011…
…1101000110000000
32220012200000102200
41002320331012000
54244242222220
6303205113200
736544524360
oct10270750600
92805600380
101122226560
11526516474
122739b8800
1314b6636b0
14a90869a0
15687c6890
hex42e3d180

1122226560 has 384 divisors, whose sum is σ = 4771690560. Its totient is φ = 236666880.

The previous prime is 1122226541. The next prime is 1122226561. The reversal of 1122226560 is 656222211.

1122226560 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122226561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523090 + ... + 525230.

Almost surely, 21122226560 is an apocalyptic number.

1122226560 is a gapful number since it is divisible by the number (10) 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 1122226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385845280).

1122226560 is an abundant number, since it is smaller than the sum of its proper divisors (3649464000).

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

1122226560 is a wasteful number, since it uses less digits than its factorization.

1122226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1122226560 is about 33499.6501474269. The cubic root of 1122226560 is about 1039.1865433919.

Adding to 1122226560 its reverse (656222211), we get a palindrome (1778448771).

The spelling of 1122226560 in words is "one billion, one hundred twenty-two million, two hundred twenty-six thousand, five hundred sixty".