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333228096 = 26322919949
BaseRepresentation
bin10011110111001…
…010100001000000
3212020000202000100
4103313022201000
51140301244341
653022122400
711154251325
oct2367124100
9766022010
10333228096
1116110a223
1293720400
13540631b6
1432382b4c
151e3c43b6
hex13dca840

333228096 has 84 divisors (see below), whose sum is σ = 988123500. Its totient is φ = 107240448.

The previous prime is 333228089. The next prime is 333228097. The reversal of 333228096 is 690822333.

It can be written as a sum of positive squares in 2 ways, for example, as 97298496 + 235929600 = 9864^2 + 15360^2 .

It is a super-2 number, since 2×3332280962 = 222081927927570432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 333228096.

It is not an unprimeable number, because it can be changed into a prime (333228097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6730 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (11763375).

Almost surely, 2333228096 is an apocalyptic number.

333228096 is a gapful number since it is divisible by the number (36) 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 333228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494061750).

333228096 is an abundant number, since it is smaller than the sum of its proper divisors (654895404).

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

333228096 is a wasteful number, since it uses less digits than its factorization.

333228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19996 (or 19983 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 333228096 is about 18254.5363129278. The cubic root of 333228096 is about 693.2882991788.

The spelling of 333228096 in words is "three hundred thirty-three million, two hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 19949 39898 59847 79796 119694 159592 179541 239388 319184 359082 478776 578521 638368 718164 957552 1157042 1276736 1436328 1735563 1915104 2314084 2872656 3471126 3830208 4628168 5206689 5745312 6942252 9256336 10413378 11490624 13884504 18512672 20826756 27769008 37025344 41653512 55538016 83307024 111076032 166614048 333228096