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2201021028 = 22321931710151
BaseRepresentation
bin1000001100110000…
…1110101001100100
312200101121110020100
42003030032221210
514001430133103
61002223304100
7105354240633
oct20314165144
95611543210
102201021028
11a2a467748
1251514b030
13290ccb30b
1416c46551a
15cd36e5a3
hex8330ea64

2201021028 has 72 divisors (see below), whose sum is σ = 5875571520. Its totient is φ = 692798400.

The previous prime is 2201021023. The next prime is 2201021051. The reversal of 2201021028 is 8201201022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2201021028.

It is not an unprimeable number, because it can be changed into a prime (2201021021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 211753 + ... + 221903.

It is an arithmetic number, because the mean of its divisors is an integer number (81605160).

Almost surely, 22201021028 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 2201021028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937785760).

2201021028 is an abundant number, since it is smaller than the sum of its proper divisors (3674550492).

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

2201021028 is a wasteful number, since it uses less digits than its factorization.

2201021028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2201021028 is about 46915.0405307296. The cubic root of 2201021028 is about 1300.7926188064.

The spelling of 2201021028 in words is "two billion, two hundred one million, twenty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 317 342 634 684 951 1268 1902 2853 3804 5706 6023 10151 11412 12046 18069 20302 24092 30453 36138 40604 54207 60906 72276 91359 108414 121812 182718 192869 216828 365436 385738 578607 771476 1157214 1735821 2314428 3217867 3471642 6435734 6943284 9653601 12871468 19307202 28960803 38614404 57921606 61139473 115843212 122278946 183418419 244557892 366836838 550255257 733673676 1100510514 2201021028