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7225980 = 2235831451
BaseRepresentation
bin11011100100001001111100
3111121010011220
4123210021330
53322212410
6414513340
7115263666
oct33441174
914533156
107225980
114095a93
122505850
131660038
14d61536
1597b070
hex6e427c

7225980 has 48 divisors (see below), whose sum is σ = 20490624. Its totient is φ = 1902400.

The previous prime is 7225973. The next prime is 7225987. The reversal of 7225980 is 895227.

7225980 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7225973) and next prime (7225987).

It is a super-3 number, since 3×72259803 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7225987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4255 + ... + 5705.

It is an arithmetic number, because the mean of its divisors is an integer number (426888).

Almost surely, 27225980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7225980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10245312).

7225980 is an abundant number, since it is smaller than the sum of its proper divisors (13264644).

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

7225980 is a wasteful number, since it uses less digits than its factorization.

7225980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 7225980 is about 2688.1183009682. The cubic root of 7225980 is about 193.3298519653.

The spelling of 7225980 in words is "seven million, two hundred twenty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1451 1660 2490 2902 4353 4980 5804 7255 8706 14510 17412 21765 29020 43530 87060 120433 240866 361299 481732 602165 722598 1204330 1445196 1806495 2408660 3612990 7225980