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2285227100 = 2252132323323
BaseRepresentation
bin1000100000110101…
…1100110001011100
312220021001120020202
42020031130301130
514140004231400
61014432203032
7110426052452
oct21015346134
95807046222
102285227100
11a72a50a42
12539399478
132a55a1cb0
141797049d2
15d59544d5
hex8835cc5c

2285227100 has 108 divisors (see below), whose sum is σ = 5584366536. Its totient is φ = 806847360.

The previous prime is 2285227097. The next prime is 2285227103. The reversal of 2285227100 is 17225822.

It is an interprime number because it is at equal distance from previous prime (2285227097) and next prime (2285227103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285227103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 686039 + ... + 689361.

Almost surely, 22285227100 is an apocalyptic number.

2285227100 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 2285227100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792183268).

2285227100 is an abundant number, since it is smaller than the sum of its proper divisors (3299139436).

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

2285227100 is a wasteful number, since it uses less digits than its factorization.

2285227100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 2285227100 is about 47804.0489916911. The cubic root of 2285227100 is about 1317.1739162542.

The spelling of 2285227100 in words is "two billion, two hundred eighty-five million, two hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 529 575 598 650 1058 1150 1196 1300 1495 2116 2300 2645 2990 3323 5290 5980 6646 6877 7475 10580 13225 13292 13754 14950 16615 26450 27508 29900 33230 34385 43199 52900 66460 68770 76429 83075 86398 137540 152858 166150 171925 172796 215995 305716 332300 343850 382145 431990 687700 764290 863980 993577 1079975 1528580 1757867 1910725 1987154 2159950 3515734 3821450 3974308 4319900 4967885 7031468 7642900 8789335 9935770 17578670 19871540 22852271 24839425 35157340 43946675 45704542 49678850 87893350 91409084 99357700 114261355 175786700 228522710 457045420 571306775 1142613550 2285227100