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2225520 = 2432511281
BaseRepresentation
bin1000011111010101110000
311012001211200
420133111300
51032204040
6115411200
724626253
oct10372560
94161750
102225520
111290080
128b3b00
135cbc9b
1441d09a
152de630
hex21f570

2225520 has 120 divisors (see below), whose sum is σ = 8182512. Its totient is φ = 537600.

The previous prime is 2225501. The next prime is 2225533. The reversal of 2225520 is 255222.

2225520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 junction number, because it is equal to n+sod(n) for n = 2225493 and 2225502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7780 + ... + 8060.

22225520 is an apocalyptic number.

2225520 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 2225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091256).

2225520 is an abundant number, since it is smaller than the sum of its proper divisors (5956992).

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

2225520 is a wasteful number, since it uses less digits than its factorization.

2225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2225520 is about 1491.8176832308. The cubic root of 2225520 is about 130.5601079512.

It can be divided in two parts, 2 and 225520, that added together give a palindrome (225522).

The spelling of 2225520 in words is "two million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 281 330 360 396 440 495 528 562 660 720 792 843 880 990 1124 1320 1405 1584 1686 1980 2248 2529 2640 2810 3091 3372 3960 4215 4496 5058 5620 6182 6744 7920 8430 9273 10116 11240 12364 12645 13488 15455 16860 18546 20232 22480 24728 25290 27819 30910 33720 37092 40464 46365 49456 50580 55638 61820 67440 74184 92730 101160 111276 123640 139095 148368 185460 202320 222552 247280 278190 370920 445104 556380 741840 1112760 2225520