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3146811228 = 22331129241379
BaseRepresentation
bin1011101110010000…
…1000011101011100
322010022021120111000
42323210020131130
522421040424403
61240131030300
7140660311521
oct27344103534
98108246430
103146811228
111375324940
12739a3b390
133b1c37ba2
1421bd01148
151363e37a3
hexbb90875c

3146811228 has 192 divisors, whose sum is σ = 9269568000. Its totient is φ = 914457600.

The previous prime is 3146811211. The next prime is 3146811253. The reversal of 3146811228 is 8221186413.

3146811228 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 Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3146811192 and 3146811201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8302743 + ... + 8303121.

It is an arithmetic number, because the mean of its divisors is an integer number (48279000).

Almost surely, 23146811228 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 3146811228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4634784000).

3146811228 is an abundant number, since it is smaller than the sum of its proper divisors (6122756772).

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

3146811228 is a wasteful number, since it uses less digits than its factorization.

3146811228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3146811228 is about 56096.4457697633. The cubic root of 3146811228 is about 1465.4023951028.

The spelling of 3146811228 in words is "three billion, one hundred forty-six million, eight hundred eleven thousand, two hundred twenty-eight".