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1220022144 = 273211432239
BaseRepresentation
bin100100010111000…
…0000111110000000
310011000200112202100
41020232000332000
54444311202034
6321021150400
742143005605
oct11056007600
93130615670
101220022144
11576741770
122a06bb400
131659b49c3
14b80626ac
1572193099
hex48b80f80

1220022144 has 192 divisors, whose sum is σ = 3920716800. Its totient is φ = 360944640.

The previous prime is 1220022121. The next prime is 1220022149. The reversal of 1220022144 is 4412200221.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220022149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543777 + ... + 546015.

It is an arithmetic number, because the mean of its divisors is an integer number (20420400).

Almost surely, 21220022144 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 1220022144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).

1220022144 is an abundant number, since it is smaller than the sum of its proper divisors (2700694656).

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

1220022144 is a wasteful number, since it uses less digits than its factorization.

1220022144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1220022144 is about 34928.8153821454. The cubic root of 1220022144 is about 1068.5361950066.

Adding to 1220022144 its reverse (4412200221), we get a palindrome (5632222365).

The spelling of 1220022144 in words is "one billion, two hundred twenty million, twenty-two thousand, one hundred forty-four".