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2172240 = 243257431
BaseRepresentation
bin1000010010010101010000
311002100202100
420102111100
51024002430
6114320400
724315030
oct10222520
94070670
102172240
111254044
12889100
135b0965
144078c0
152cd960
hex212550

2172240 has 120 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 495360.

The previous prime is 2172239. The next prime is 2172241. The reversal of 2172240 is 422712.

It is an interprime number because it is at equal distance from previous prime (2172239) and next prime (2172241).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4825 + ... + 5255.

22172240 is an apocalyptic number.

2172240 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 2172240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178304).

2172240 is an abundant number, since it is smaller than the sum of its proper divisors (6184368).

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

2172240 is a wasteful number, since it uses less digits than its factorization.

2172240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2172240 is about 1473.8520957002. The cubic root of 2172240 is about 129.5097909047.

Adding to 2172240 its reverse (422712), we get a palindrome (2594952).

The spelling of 2172240 in words is "two million, one hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 431 504 560 630 720 840 862 1008 1260 1293 1680 1724 2155 2520 2586 3017 3448 3879 4310 5040 5172 6034 6465 6896 7758 8620 9051 10344 12068 12930 15085 15516 17240 18102 19395 20688 24136 25860 27153 30170 31032 34480 36204 38790 45255 48272 51720 54306 60340 62064 72408 77580 90510 103440 108612 120680 135765 144816 155160 181020 217224 241360 271530 310320 362040 434448 543060 724080 1086120 2172240