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2232775040 = 2758939199
BaseRepresentation
bin1000010100010101…
…0111000110000000
312202121100201112212
42011011113012000
514033042300130
61005320041252
7106221163136
oct20505270600
95677321485
102232775040
11a46385a31
12523903228
13297768782
1417276d756
15d1042e95
hex85157180

2232775040 has 64 divisors (see below), whose sum is σ = 5397840000. Its totient is φ = 883052544.

The previous prime is 2232774991. The next prime is 2232775049. The reversal of 2232775040 is 405772322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×22327750403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2232774988 and 2232775006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232775049) 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 7 ways as a sum of consecutive naturals, for example, 37361 + ... + 76559.

It is an arithmetic number, because the mean of its divisors is an integer number (84341250).

Almost surely, 22232775040 is an apocalyptic number.

2232775040 is a gapful number since it is divisible by the number (20) 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 2232775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698920000).

2232775040 is an abundant number, since it is smaller than the sum of its proper divisors (3165064960).

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

2232775040 is an equidigital number, since it uses as much as digits as its factorization.

2232775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39307 (or 39295 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 32.

The square root of 2232775040 is about 47252.2490470030. The cubic root of 2232775040 is about 1307.0182634757.

The spelling of 2232775040 in words is "two billion, two hundred thirty-two million, seven hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 320 356 445 640 712 890 1424 1780 2848 3560 5696 7120 11392 14240 28480 39199 56960 78398 156796 195995 313592 391990 627184 783980 1254368 1567960 2508736 3135920 3488711 5017472 6271840 6977422 12543680 13954844 17443555 25087360 27909688 34887110 55819376 69774220 111638752 139548440 223277504 279096880 446555008 558193760 1116387520 2232775040