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2212538328 = 233671113379
BaseRepresentation
bin1000001111100000…
…1010011111011000
312201012021121000000
42003320022133120
514012402211303
61003314213000
7105554160030
oct20370123730
95635247000
102212538328
11a35a13880
12518b84160
132935016a0
1416dbc28c0
15ce396da3
hex83e0a7d8

2212538328 has 448 divisors, whose sum is σ = 8373254400. Its totient is φ = 529079040.

The previous prime is 2212538303. The next prime is 2212538329. The reversal of 2212538328 is 8238352122.

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 = 2212538292 and 2212538301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212538329) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837643 + ... + 5838021.

It is an arithmetic number, because the mean of its divisors is an integer number (18690300).

Almost surely, 22212538328 is an apocalyptic number.

2212538328 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 2212538328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186627200).

2212538328 is an abundant number, since it is smaller than the sum of its proper divisors (6160716072).

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

2212538328 is a wasteful number, since it uses less digits than its factorization.

2212538328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

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

The square root of 2212538328 is about 47037.6267258458. The cubic root of 2212538328 is about 1303.0575620398.

The spelling of 2212538328 in words is "two billion, two hundred twelve million, five hundred thirty-eight thousand, three hundred twenty-eight".