Search a number
-
+
2221210128 = 243731633889
BaseRepresentation
bin1000010001100100…
…1111101000010000
312201210121011110210
42010121033220100
514022112211003
61004224124120
7106020655164
oct20431175020
95653534423
102221210128
11a3a8a7055
1251ba66640
13295249827
14170ddcca4
15d000b503
hex8464fa10

2221210128 has 80 divisors (see below), whose sum is σ = 5853920960. Its totient is φ = 725594112.

The previous prime is 2221210127. The next prime is 2221210133. The reversal of 2221210128 is 8210121222.

It is not an unprimeable number, because it can be changed into a prime (2221210127) 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, 569208 + ... + 573096.

It is an arithmetic number, because the mean of its divisors is an integer number (73174012).

Almost surely, 22221210128 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 2221210128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926960480).

2221210128 is an abundant number, since it is smaller than the sum of its proper divisors (3632710832).

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

2221210128 is a wasteful number, since it uses less digits than its factorization.

2221210128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2221210128 is about 47129.7159762288. The cubic root of 2221210128 is about 1304.7577395600.

The spelling of 2221210128 in words is "two billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 163 219 292 326 438 489 584 652 876 978 1168 1304 1752 1956 2608 3504 3889 3912 7778 7824 11667 11899 15556 23334 23798 31112 35697 46668 47596 62224 71394 93336 95192 142788 186672 190384 283897 285576 567794 571152 633907 851691 1135588 1267814 1703382 1901721 2271176 2535628 3406764 3803442 4542352 5071256 6813528 7606884 10142512 13627056 15213768 30427536 46275211 92550422 138825633 185100844 277651266 370201688 555302532 740403376 1110605064 2221210128