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225722420 = 225721120939
BaseRepresentation
bin11010111010001…
…00000000110100
3120201201212221122
431131010000310
5430241104140
634222003112
75410415600
oct1535040064
9521655848
10225722420
11106461660
1263716498
13379c2281
1421d9a500
1514c3aab5
hexd744034

225722420 has 72 divisors (see below), whose sum is σ = 601564320. Its totient is φ = 70351680.

The previous prime is 225722411. The next prime is 225722429. The reversal of 225722420 is 24227522.

It is an interprime number because it is at equal distance from previous prime (225722411) and next prime (225722429).

It is a super-2 number, since 2×2257224202 = 101901221781312800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225722420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225722429) by changing a digit.

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, 311 + ... + 21249.

It is an arithmetic number, because the mean of its divisors is an integer number (8355060).

Almost surely, 2225722420 is an apocalyptic number.

225722420 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 225722420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300782160).

225722420 is an abundant number, since it is smaller than the sum of its proper divisors (375841900).

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

225722420 is a wasteful number, since it uses less digits than its factorization.

225722420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20973 (or 20964 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 225722420 is about 15024.0613683518. The cubic root of 225722420 is about 608.8704529131.

Adding to 225722420 its reverse (24227522), we get a palindrome (249949942).

The spelling of 225722420 in words is "two hundred twenty-five million, seven hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 5390 10780 20939 41878 83756 104695 146573 209390 230329 293146 418780 460658 586292 732865 921316 1026011 1151645 1465730 1612303 2052022 2303290 2931460 3224606 4104044 4606580 5130055 6449212 8061515 10260110 11286121 16123030 20520220 22572242 32246060 45144484 56430605 112861210 225722420