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2028202146 = 233234493637
BaseRepresentation
bin111100011100011…
…1110100010100010
312020100102100022000
41320320332202202
513123204432041
6533131224430
7101155301535
oct17070764242
95210370260
102028202146
1195095a323
124872a8116
1326426cc19
1415351aa1c
15bd0d3bb6
hex78e3e8a2

2028202146 has 64 divisors (see below), whose sum is σ = 4714848000. Its totient is φ = 645055488.

The previous prime is 2028202093. The next prime is 2028202147. The reversal of 2028202146 is 6412028202.

It is a happy number.

It is a super-2 number, since 2×20282021462 = 8227207890078010632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2028202147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555840 + ... + 559476.

It is an arithmetic number, because the mean of its divisors is an integer number (73669500).

Almost surely, 22028202146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028202146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357424000).

2028202146 is an abundant number, since it is smaller than the sum of its proper divisors (2686645854).

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

2028202146 is a wasteful number, since it uses less digits than its factorization.

2028202146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2028202146 is about 45035.5653456243. The cubic root of 2028202146 is about 1265.8155096045.

The spelling of 2028202146 in words is "two billion, twenty-eight million, two hundred two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 449 621 898 1242 1347 2694 3637 4041 7274 8082 10327 10911 12123 20654 21822 24246 30981 32733 61962 65466 83651 92943 98199 167302 185886 196398 250953 278829 501906 557658 752859 1505718 1633013 2258577 3266026 4517154 4899039 9798078 14697117 29394234 37559299 44091351 75118598 88182702 112677897 225355794 338033691 676067382 1014101073 2028202146