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1222240320 = 26335722887
BaseRepresentation
bin100100011011001…
…1110100001000000
310011011212020112000
41020312132201000
510000343142240
6321140504000
742200604600
oct11066364100
93134766460
101222240320
11577a17274
122a13ab000
131662b0532
14b847cc00
1572480430
hex48d9e840

1222240320 has 336 divisors, whose sum is σ = 5017495680. Its totient is φ = 279272448.

The previous prime is 1222240319. The next prime is 1222240337. The reversal of 1222240320 is 230422221.

1222240320 is a `hidden beast` number, since 122 + 224 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1222240293 and 1222240302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421917 + ... + 424803.

Almost surely, 21222240320 is an apocalyptic number.

1222240320 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 1222240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508747840).

1222240320 is an abundant number, since it is smaller than the sum of its proper divisors (3795255360).

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

1222240320 is a wasteful number, since it uses less digits than its factorization.

1222240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1222240320 is about 34960.5537713578. The cubic root of 1222240320 is about 1069.1833871765.

Adding to 1222240320 its reverse (230422221), we get a palindrome (1452662541).

The spelling of 1222240320 in words is "one billion, two hundred twenty-two million, two hundred forty thousand, three hundred twenty".