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2221940 = 225759269
BaseRepresentation
bin1000011110011101110100
311011212221002
420132131310
51032100230
6115342432
724612650
oct10363564
94155832
102221940
111288416
128b1a18
135ca476
1441ba60
152dd545
hex21e774

2221940 has 48 divisors (see below), whose sum is σ = 5443200. Its totient is φ = 746112.

The previous prime is 2221931. The next prime is 2221943. The reversal of 2221940 is 491222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221943) 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, 8126 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

22221940 is an apocalyptic number.

2221940 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 2221940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721600).

2221940 is an abundant number, since it is smaller than the sum of its proper divisors (3221260).

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

2221940 is a wasteful number, since it uses less digits than its factorization.

2221940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2221940 is about 1490.6173217832. The cubic root of 2221940 is about 130.4900634919.

The spelling of 2221940 in words is "two million, two hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 269 295 413 538 590 826 1076 1180 1345 1652 1883 2065 2690 3766 4130 5380 7532 8260 9415 15871 18830 31742 37660 63484 79355 111097 158710 222194 317420 444388 555485 1110970 2221940