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3228428700 = 22325272193853
BaseRepresentation
bin1100000001101101…
…1110100110011100
322022222212011121100
43000123132212130
523102434204300
61252204233100
7143001122400
oct30033364634
98288764540
103228428700
1114074002a2
1276123b790
133c5b13553
14228aa9100
1513d666700
hexc06de99c

3228428700 has 324 divisors, whose sum is σ = 12394232760. Its totient is φ = 698906880.

The previous prime is 3228428689. The next prime is 3228428713. The reversal of 3228428700 is 78248223.

3228428700 is a `hidden beast` number, since 3 + 228 + 428 + 7 + 0 + 0 = 666.

3228428700 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×32284287003 (a number of 30 digits) contains 333 as substring.

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 107 ways as a sum of consecutive naturals, for example, 835974 + ... + 839826.

Almost surely, 23228428700 is an apocalyptic number.

3228428700 is a gapful number since it is divisible by the number (30) 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 3228428700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197116380).

3228428700 is an abundant number, since it is smaller than the sum of its proper divisors (9165804060).

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

3228428700 is a wasteful number, since it uses less digits than its factorization.

3228428700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 3228428700 is about 56819.2634587954. The cubic root of 3228428700 is about 1477.9635828750.

The spelling of 3228428700 in words is "three billion, two hundred twenty-eight million, four hundred twenty-eight thousand, seven hundred".