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2234130320 = 245311396481
BaseRepresentation
bin1000010100101010…
…0001111110010000
312202200220120122102
42011022201332100
514033414132240
61005405055532
7106235536322
oct20512417620
95680816572
102234130320
11a471211a4
125242575a8
13297b21606
14172a03612
15d120e815
hex852a1f90

2234130320 has 80 divisors (see below), whose sum is σ = 5401320960. Its totient is φ = 858470400.

The previous prime is 2234130299. The next prime is 2234130331. The reversal of 2234130320 is 230314322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2234130292 and 2234130301.

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, 341480 + ... + 347960.

It is an arithmetic number, because the mean of its divisors is an integer number (67516512).

Almost surely, 22234130320 is an apocalyptic number.

2234130320 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 2234130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700660480).

2234130320 is an abundant number, since it is smaller than the sum of its proper divisors (3167190640).

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

2234130320 is a wasteful number, since it uses less digits than its factorization.

2234130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2234130320 is about 47266.5877761448. The cubic root of 2234130320 is about 1307.2826605297.

Adding to 2234130320 its reverse (230314322), we get a palindrome (2464444642).

The spelling of 2234130320 in words is "two billion, two hundred thirty-four million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 139 155 248 278 310 496 556 620 695 1112 1240 1390 2224 2480 2780 4309 5560 6481 8618 11120 12962 17236 21545 25924 32405 34472 43090 51848 64810 68944 86180 103696 129620 172360 200911 259240 344720 401822 518480 803644 900859 1004555 1607288 1801718 2009110 3214576 3603436 4018220 4504295 7206872 8036440 9008590 14413744 16072880 18017180 27926629 36034360 55853258 72068720 111706516 139633145 223413032 279266290 446826064 558532580 1117065160 2234130320