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1225514620 = 2251124311777
BaseRepresentation
bin100100100001011…
…1101111001111100
310011102000121000101
41021002331321330
510002212431440
6321335010444
742240462631
oct11102757174
93142017011
101225514620
11579853300
122a2509a24
13166b889a5
14b8a92188
15728ca69a
hex490bde7c

1225514620 has 72 divisors (see below), whose sum is σ = 2894843952. Its totient is φ = 435240960.

The previous prime is 1225514617. The next prime is 1225514651. The reversal of 1225514620 is 264155221.

It is a super-4 number, since 4×12255146204 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98172 + ... + 109948.

It is an arithmetic number, because the mean of its divisors is an integer number (40206166).

Almost surely, 21225514620 is an apocalyptic number.

1225514620 is a gapful number since it is divisible by the number (10) 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 1225514620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447421976).

1225514620 is an abundant number, since it is smaller than the sum of its proper divisors (1669329332).

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

1225514620 is a wasteful number, since it uses less digits than its factorization.

1225514620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1225514620 is about 35007.3509423378. The cubic root of 1225514620 is about 1070.1372927741.

Adding to 1225514620 its reverse (264155221), we get a palindrome (1489669841).

The spelling of 1225514620 in words is "one billion, two hundred twenty-five million, five hundred fourteen thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 121 172 215 220 242 430 473 484 605 860 946 1210 1892 2365 2420 4730 5203 9460 10406 11777 20812 23554 26015 47108 52030 58885 104060 117770 129547 235540 259094 506411 518188 647735 1012822 1295470 1425017 2025644 2532055 2590940 2850034 5064110 5570521 5700068 7125085 10128220 11141042 14250170 22282084 27852605 28500340 55705210 61275731 111410420 122551462 245102924 306378655 612757310 1225514620