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1164222240 = 25353536871
BaseRepresentation
bin100010101100100…
…1001111100100000
310000010200121200020
41011121021330200
54341020102430
6311305153440
740564503636
oct10531117440
93003617606
101164222240
1154819a445
12285a8b880
131572786cc
14b0899356
156c31eb10
hex45649f20

1164222240 has 96 divisors (see below), whose sum is σ = 3678224256. Its totient is φ = 309534720.

The previous prime is 1164222239. The next prime is 1164222307. The reversal of 1164222240 is 422224611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11642222402 = 2710826848221235200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1164222240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166005 + ... + 172875.

It is an arithmetic number, because the mean of its divisors is an integer number (38314836).

Almost surely, 21164222240 is an apocalyptic number.

1164222240 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 1164222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839112128).

1164222240 is an abundant number, since it is smaller than the sum of its proper divisors (2514002016).

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

1164222240 is a wasteful number, since it uses less digits than its factorization.

1164222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242 (or 7234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1164222240 is about 34120.7010478976. The cubic root of 1164222240 is about 1051.9908532411.

Adding to 1164222240 its reverse (422224611), we get a palindrome (1586446851).

The spelling of 1164222240 in words is "one billion, one hundred sixty-four million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 353 480 706 1059 1412 1765 2118 2824 3530 4236 5295 5648 6871 7060 8472 10590 11296 13742 14120 16944 20613 21180 27484 28240 33888 34355 41226 42360 54968 56480 68710 82452 84720 103065 109936 137420 164904 169440 206130 219872 274840 329808 412260 549680 659616 824520 1099360 1649040 2425463 3298080 4850926 7276389 9701852 12127315 14552778 19403704 24254630 29105556 36381945 38807408 48509260 58211112 72763890 77614816 97018520 116422224 145527780 194037040 232844448 291055560 388074080 582111120 1164222240