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2420220 = 22351119193
BaseRepresentation
bin1001001110110111111100
311112221220210
421032313330
51104421340
6123512420
726400015
oct11166774
94487823
102420220
111403390
12988710
136697aa
1447000c
1532c180
hex24edfc

2420220 has 96 divisors (see below), whose sum is σ = 7822080. Its totient is φ = 552960.

The previous prime is 2420213. The next prime is 2420237. The reversal of 2420220 is 220242.

It is a happy number.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2420196 and 2420205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12444 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (81480).

22420220 is an apocalyptic number.

2420220 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 2420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911040).

2420220 is an abundant number, since it is smaller than the sum of its proper divisors (5401860).

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

2420220 is a wasteful number, since it uses less digits than its factorization.

2420220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

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

The square root of 2420220 is about 1555.7056276815. The cubic root of 2420220 is about 134.2615371766.

Adding to 2420220 its reverse (220242), we get a palindrome (2640462).

The spelling of 2420220 in words is "two million, four hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 30 33 38 44 55 57 60 66 76 95 110 114 132 165 190 193 209 220 228 285 330 380 386 418 570 579 627 660 772 836 965 1045 1140 1158 1254 1930 2090 2123 2316 2508 2895 3135 3667 3860 4180 4246 5790 6270 6369 7334 8492 10615 11001 11580 12540 12738 14668 18335 21230 22002 25476 31845 36670 40337 42460 44004 55005 63690 73340 80674 110010 121011 127380 161348 201685 220020 242022 403370 484044 605055 806740 1210110 2420220