Search a number
-
+
2219940 = 223354111
BaseRepresentation
bin1000011101111110100100
311011210012000
420131332210
51032014230
6115325300
724604062
oct10357644
94153160
102219940
111286968
128b0830
135c9598
1441b032
152dcb60
hex21dfa4

2219940 has 48 divisors (see below), whose sum is σ = 6908160. Its totient is φ = 591840.

The previous prime is 2219939. The next prime is 2219947. The reversal of 2219940 is 499122.

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

It is not an unprimeable number, because it can be changed into a prime (2219947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516 + ... + 2595.

It is an arithmetic number, because the mean of its divisors is an integer number (143920).

22219940 is an apocalyptic number.

2219940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2219940 is an abundant number, since it is smaller than the sum of its proper divisors (4688220).

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

2219940 is a wasteful number, since it uses less digits than its factorization.

2219940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4129 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2219940 is about 1489.9463077574. The cubic root of 2219940 is about 130.4508997475.

The spelling of 2219940 in words is "two million, two hundred nineteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 4111 8222 12333 16444 20555 24666 36999 41110 49332 61665 73998 82220 110997 123330 147996 184995 221994 246660 369990 443988 554985 739980 1109970 2219940