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2283900 = 2235223331
BaseRepresentation
bin1000101101100101111100
311022000220220
420231211330
51041041100
6120541340
725261413
oct10554574
94260826
102283900
11131aa23
12921850
1361c728
1443647a
15301aa0
hex22d97c

2283900 has 72 divisors (see below), whose sum is σ = 6916224. Its totient is φ = 580800.

The previous prime is 2283893. The next prime is 2283907. The reversal of 2283900 is 93822.

It is an interprime number because it is at equal distance from previous prime (2283893) and next prime (2283907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2283907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6735 + ... + 7065.

22283900 is an apocalyptic number.

2283900 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 2283900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458112).

2283900 is an abundant number, since it is smaller than the sum of its proper divisors (4632324).

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

2283900 is a wasteful number, since it uses less digits than its factorization.

2283900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2283900 is about 1511.2577543225. The cubic root of 2283900 is about 131.6918892732.

The spelling of 2283900 in words is "two million, two hundred eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 331 345 460 575 662 690 993 1150 1324 1380 1655 1725 1986 2300 3310 3450 3972 4965 6620 6900 7613 8275 9930 15226 16550 19860 22839 24825 30452 33100 38065 45678 49650 76130 91356 99300 114195 152260 190325 228390 380650 456780 570975 761300 1141950 2283900