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2202420 = 2235114771
BaseRepresentation
bin1000011001101100110100
311010220011010
420121230310
51030434140
6115112220
724502023
oct10315464
94126133
102202420
111274790
128a2670
135c160c
144148ba
152d7880
hex219b34

2202420 has 96 divisors (see below), whose sum is σ = 6967296. Its totient is φ = 515200.

The previous prime is 2202419. The next prime is 2202433. The reversal of 2202420 is 242022.

It is a happy number.

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

2202420 is a modest number, since divided by 2420 gives 220 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2202396 and 2202405.

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, 30985 + ... + 31055.

It is an arithmetic number, because the mean of its divisors is an integer number (72576).

22202420 is an apocalyptic number.

2202420 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 2202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648).

2202420 is an abundant number, since it is smaller than the sum of its proper divisors (4764876).

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

2202420 is a wasteful number, since it uses less digits than its factorization.

2202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

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

The square root of 2202420 is about 1484.0552550360. The cubic root of 2202420 is about 130.1068155631.

Adding to 2202420 its reverse (242022), we get a palindrome (2444442).

The spelling of 2202420 in words is "two million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 71 94 110 132 141 142 165 188 213 220 235 282 284 330 355 426 470 517 564 660 705 710 781 852 940 1034 1065 1410 1420 1551 1562 2068 2130 2343 2585 2820 3102 3124 3337 3905 4260 4686 5170 6204 6674 7755 7810 9372 10011 10340 11715 13348 15510 15620 16685 20022 23430 31020 33370 36707 40044 46860 50055 66740 73414 100110 110121 146828 183535 200220 220242 367070 440484 550605 734140 1101210 2202420