Search a number
-
+
2227320 = 2332523269
BaseRepresentation
bin1000011111110001111000
311012011022100
420133301320
51032233240
6115423400
724634434
oct10376170
94164270
102227320
111291467
128b4b60
135cca54
1441d9c4
152dee30
hex21fc78

2227320 has 96 divisors (see below), whose sum is σ = 7581600. Its totient is φ = 566016.

The previous prime is 2227307. The next prime is 2227321. The reversal of 2227320 is 237222.

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

It is a junction number, because it is equal to n+sod(n) for n = 2227293 and 2227302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227321) 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, 8146 + ... + 8414.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

22227320 is an apocalyptic number.

2227320 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 2227320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800).

2227320 is an abundant number, since it is smaller than the sum of its proper divisors (5354280).

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

2227320 is a wasteful number, since it uses less digits than its factorization.

2227320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2227320 is about 1492.4208521727. The cubic root of 2227320 is about 130.5952974596.

The spelling of 2227320 in words is "two million, two hundred twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 269 276 345 360 414 460 538 552 690 807 828 920 1035 1076 1345 1380 1614 1656 2070 2152 2421 2690 2760 3228 4035 4140 4842 5380 6187 6456 8070 8280 9684 10760 12105 12374 16140 18561 19368 24210 24748 30935 32280 37122 48420 49496 55683 61870 74244 92805 96840 111366 123740 148488 185610 222732 247480 278415 371220 445464 556830 742440 1113660 2227320