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532226880 = 263251811021
BaseRepresentation
bin11111101110010…
…010001101000000
31101002110221000200
4133232102031000
52042222230010
6124451245200
716121565603
oct3756221500
91332427020
10532226880
11253478a29
1212a2a9800
1386359863
145098433a
1531ad1cc0
hex1fb92340

532226880 has 168 divisors, whose sum is σ = 1842555624. Its totient is φ = 141004800.

The previous prime is 532226861. The next prime is 532226897. The reversal of 532226880 is 88622235.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 531948096 = 528^2 + 23064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520770 + ... + 521790.

It is an arithmetic number, because the mean of its divisors is an integer number (10967593).

Almost surely, 2532226880 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 532226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921277812).

532226880 is an abundant number, since it is smaller than the sum of its proper divisors (1310328744).

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

532226880 is a wasteful number, since it uses less digits than its factorization.

532226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 532226880 is about 23070.0429128340. The cubic root of 532226880 is about 810.3990717568.

The spelling of 532226880 in words is "five hundred thirty-two million, two hundred twenty-six thousand, eight hundred eighty".