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96334224 = 2437409701
BaseRepresentation
bin1011011110111…
…11000110010000
320201021021201020
411233133012100
5144130143344
613320435440
72246553540
oct557370620
9221237636
1096334224
114a418368
1228318b80
1316c5c0cc
14cb19320
1586cd719
hex5bdf190

96334224 has 80 divisors (see below), whose sum is σ = 285517440. Its totient is φ = 27417600.

The previous prime is 96334211. The next prime is 96334241. The reversal of 96334224 is 42243369.

96334224 = T15 + T16 + ... + T832.

It is a Cunningham number, because it is equal to 98152-1.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137074 + ... + 137774.

It is an arithmetic number, because the mean of its divisors is an integer number (3568968).

Almost surely, 296334224 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 96334224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142758720).

96334224 is an abundant number, since it is smaller than the sum of its proper divisors (189183216).

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

96334224 is a wasteful number, since it uses less digits than its factorization.

96334224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1122 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 96334224 is about 9814.9999490576. Note that the first 4 decimals coincide. The cubic root of 96334224 is about 458.4164579004.

The spelling of 96334224 in words is "ninety-six million, three hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 409 701 818 1227 1402 1636 2103 2454 2804 2863 3272 4206 4907 4908 5608 5726 6544 8412 8589 9814 9816 11216 11452 14721 16824 17178 19628 19632 22904 29442 33648 34356 39256 45808 58884 68712 78512 117768 137424 235536 286709 573418 860127 1146836 1720254 2006963 2293672 3440508 4013926 4587344 6020889 6881016 8027852 12041778 13762032 16055704 24083556 32111408 48167112 96334224