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2242020 = 2235114379
BaseRepresentation
bin1000100011010111100100
311012220110210
420203113210
51033221040
6120015420
725025334
oct10432744
94186423
102242020
1112a1510
12901570
13606651
144250c4
152e4480
hex2235e4

2242020 has 96 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 524160.

The previous prime is 2241989. The next prime is 2242027. The reversal of 2242020 is 202422.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2241987 and 2242005.

It is not an unprimeable number, because it can be changed into a prime (2242027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28341 + ... + 28419.

It is an arithmetic number, because the mean of its divisors is an integer number (73920).

22242020 is an apocalyptic number.

2242020 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 2242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548160).

2242020 is an abundant number, since it is smaller than the sum of its proper divisors (4854300).

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

2242020 is a wasteful number, since it uses less digits than its factorization.

2242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

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

The square root of 2242020 is about 1497.3376372749. The cubic root of 2242020 is about 130.8819712691.

Adding to 2242020 its reverse (202422), we get a palindrome (2444442).

The spelling of 2242020 in words is "two million, two hundred forty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 79 86 110 129 132 158 165 172 215 220 237 258 316 330 395 430 473 474 516 645 660 790 860 869 946 948 1185 1290 1419 1580 1738 1892 2365 2370 2580 2607 2838 3397 3476 4345 4730 4740 5214 5676 6794 7095 8690 9460 10191 10428 13035 13588 14190 16985 17380 20382 26070 28380 33970 37367 40764 50955 52140 67940 74734 101910 112101 149468 186835 203820 224202 373670 448404 560505 747340 1121010 2242020