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2152833228 = 223672131961
BaseRepresentation
bin1000000001010001…
…1010000011001100
312120000221021000000
42000110122003030
513402111130403
6553342404300
7104230531500
oct20024320314
95500837000
102152833228
11a05244517
12500b90690
13284028a20
14165cc0300
15c90017a3
hex8051a0cc

2152833228 has 504 divisors, whose sum is σ = 7570817520. Its totient is φ = 529079040.

The previous prime is 2152833217. The next prime is 2152833253. The reversal of 2152833228 is 8223382512.

It is a happy number.

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 = 2152833192 and 2152833201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35292318 + ... + 35292378.

Almost surely, 22152833228 is an apocalyptic number.

2152833228 is a gapful number since it is divisible by the number (28) 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 2152833228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785408760).

2152833228 is an abundant number, since it is smaller than the sum of its proper divisors (5417984292).

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

2152833228 is a wasteful number, since it uses less digits than its factorization.

2152833228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

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

The square root of 2152833228 is about 46398.6339023036. The cubic root of 2152833228 is about 1291.2295686005.

It can be divided in two parts, 21528 and 33228, that added together give a square (54756 = 2342).

The spelling of 2152833228 in words is "two billion, one hundred fifty-two million, eight hundred thirty-three thousand, two hundred twenty-eight".