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2270100 = 2235272347
BaseRepresentation
bin1000101010001110010100
311021022222210
420222032110
51040120400
6120353420
725203240
oct10521624
94238883
102270100
111310618
12915870
13616371
14431420
152ec950
hex22a394

2270100 has 144 divisors (see below), whose sum is σ = 7999488. Its totient is φ = 485760.

The previous prime is 2270071. The next prime is 2270111. The reversal of 2270100 is 10722.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48277 + ... + 48323.

It is an arithmetic number, because the mean of its divisors is an integer number (55552).

22270100 is an apocalyptic number.

2270100 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 2270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744).

2270100 is an abundant number, since it is smaller than the sum of its proper divisors (5729388).

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

2270100 is a wasteful number, since it uses less digits than its factorization.

2270100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2270100 is about 1506.6851031320. The cubic root of 2270100 is about 131.4261127904.

Adding to 2270100 its reverse (10722), we get a palindrome (2280822).

The spelling of 2270100 in words is "two million, two hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 47 50 60 69 70 75 84 92 94 100 105 115 138 140 141 150 161 175 188 210 230 235 276 282 300 322 329 345 350 420 460 470 483 525 564 575 644 658 690 700 705 805 940 966 987 1050 1081 1150 1175 1316 1380 1410 1610 1645 1725 1932 1974 2100 2162 2300 2350 2415 2820 3220 3243 3290 3450 3525 3948 4025 4324 4700 4830 4935 5405 6486 6580 6900 7050 7567 8050 8225 9660 9870 10810 12075 12972 14100 15134 16100 16215 16450 19740 21620 22701 24150 24675 27025 30268 32430 32900 37835 45402 48300 49350 54050 64860 75670 81075 90804 98700 108100 113505 151340 162150 189175 227010 324300 378350 454020 567525 756700 1135050 2270100