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2235420 = 22325111129
BaseRepresentation
bin1000100001110000011100
311012120102100
420201300130
51033013140
6115525100
725000155
oct10416034
94176370
102235420
111297560
128b9790
13603645
1442292c
152e2530
hex221c1c

2235420 has 72 divisors (see below), whose sum is σ = 7403760. Its totient is φ = 541440.

The previous prime is 2235403. The next prime is 2235427. The reversal of 2235420 is 245322.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2235393 and 2235402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2235427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (102830).

22235420 is an apocalyptic number.

2235420 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 2235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701880).

2235420 is an abundant number, since it is smaller than the sum of its proper divisors (5168340).

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

2235420 is a wasteful number, since it uses less digits than its factorization.

2235420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2235420 is about 1495.1321011870. The cubic root of 2235420 is about 130.7534160628.

The spelling of 2235420 in words is "two million, two hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1129 1980 2258 3387 4516 5645 6774 10161 11290 12419 13548 16935 20322 22580 24838 33870 37257 40644 49676 50805 62095 67740 74514 101610 111771 124190 149028 186285 203220 223542 248380 372570 447084 558855 745140 1117710 2235420