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2230699728 = 24361829919
BaseRepresentation
bin1000010011110101…
…1100011011010000
312202110110021202110
42010331130123100
514032024342403
61005203345320
7106164430515
oct20475343320
95673407673
102230699728
11a451987a4
12523082240
132971bcc8a
1417238d30c
15d0c83103
hex84f5c6d0

2230699728 has 80 divisors (see below), whose sum is σ = 5870556800. Its totient is φ = 729699840.

The previous prime is 2230699721. The next prime is 2230699729. The reversal of 2230699728 is 8279960322.

It is a super-3 number, since 3×22306997283 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230699721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426853 + ... + 2427771.

It is an arithmetic number, because the mean of its divisors is an integer number (73381960).

Almost surely, 22230699728 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 2230699728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935278400).

2230699728 is an abundant number, since it is smaller than the sum of its proper divisors (3639857072).

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

2230699728 is a wasteful number, since it uses less digits than its factorization.

2230699728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2230699728 is about 47230.2840135437. The cubic root of 2230699728 is about 1306.6131903470.

The spelling of 2230699728 in words is "two billion, two hundred thirty million, six hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 829 919 976 1464 1658 1838 2487 2757 2928 3316 3676 4974 5514 6632 7352 9948 11028 13264 14704 19896 22056 39792 44112 50569 56059 101138 112118 151707 168177 202276 224236 303414 336354 404552 448472 606828 672708 761851 809104 896944 1213656 1345416 1523702 2285553 2427312 2690832 3047404 4571106 6094808 9142212 12189616 18284424 36568848 46472911 92945822 139418733 185891644 278837466 371783288 557674932 743566576 1115349864 2230699728