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2220240 = 243511292
BaseRepresentation
bin1000011110000011010000
311011210121010
420132003100
51032021430
6115330520
724605001
oct10360320
94153533
102220240
111287110
128b0a40
135c9769
1441b1a8
152dccb0
hex21e0d0

2220240 has 120 divisors (see below), whose sum is σ = 7776288. Its totient is φ = 519680.

The previous prime is 2220209. The next prime is 2220263. The reversal of 2220240 is 420222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76546 + ... + 76574.

22220240 is an apocalyptic number.

2220240 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 2220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888144).

2220240 is an abundant number, since it is smaller than the sum of its proper divisors (5556048).

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

2220240 is a wasteful number, since it uses less digits than its factorization.

2220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2220240 is about 1490.0469791252. The cubic root of 2220240 is about 130.4567758083.

Adding to 2220240 its reverse (420222), we get a palindrome (2640462).

The spelling of 2220240 in words is "two million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 33 40 44 48 55 58 60 66 80 87 88 110 116 120 132 145 165 174 176 220 232 240 264 290 319 330 348 435 440 464 528 580 638 660 696 841 870 880 957 1160 1276 1320 1392 1595 1682 1740 1914 2320 2523 2552 2640 3190 3364 3480 3828 4205 4785 5046 5104 6380 6728 6960 7656 8410 9251 9570 10092 12615 12760 13456 15312 16820 18502 19140 20184 25230 25520 27753 33640 37004 38280 40368 46255 50460 55506 67280 74008 76560 92510 100920 111012 138765 148016 185020 201840 222024 277530 370040 444048 555060 740080 1110120 2220240