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2232000120 = 233572657143
BaseRepresentation
bin1000010100001001…
…1001111001111000
312202112220100120010
42011002121321320
514032343000440
61005251301520
7106211454660
oct20502317170
95675810503
102232000120
11a459a67a9
125235aa8a0
13297556b3c
1417260b1a0
15d0e3d580
hex85099e78

2232000120 has 64 divisors (see below), whose sum is σ = 7652574720. Its totient is φ = 510171264.

The previous prime is 2232000101. The next prime is 2232000157. The reversal of 2232000120 is 210002322.

It is a super-3 number, since 3×22320001203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2232000096 and 2232000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327732 + ... + 1329411.

It is an arithmetic number, because the mean of its divisors is an integer number (119571480).

Almost surely, 22232000120 is an apocalyptic number.

2232000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232000120 is an abundant number, since it is smaller than the sum of its proper divisors (5420574600).

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

2232000120 is a wasteful number, since it uses less digits than its factorization.

2232000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657164 (or 2657160 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2232000120 is about 47244.0485140721. The cubic root of 2232000120 is about 1306.8670388381.

Adding to 2232000120 its reverse (210002322), we get a palindrome (2442002442).

The spelling of 2232000120 in words is "two billion, two hundred thirty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2657143 5314286 7971429 10628572 13285715 15942858 18600001 21257144 26571430 31885716 37200002 39857145 53142860 55800003 63771432 74400004 79714290 93000005 106285720 111600006 148800008 159428580 186000010 223200012 279000015 318857160 372000020 446400024 558000030 744000040 1116000060 2232000120