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2254432096 = 25731973347
BaseRepresentation
bin1000011001011111…
…1110011101100000
312211010010000110001
42012113332131200
514104113311341
61011412145344
7106603233220
oct20627763540
95733100401
102254432096
11a57628224
1252b008254
1329c0ac1b7
141755aa080
15d2dbed31
hex865fe760

2254432096 has 96 divisors (see below), whose sum is σ = 5291661312. Its totient is φ = 925102080.

The previous prime is 2254432093. The next prime is 2254432111. The reversal of 2254432096 is 6902344522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254432091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671895 + ... + 675241.

It is an arithmetic number, because the mean of its divisors is an integer number (55121472).

Almost surely, 22254432096 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 2254432096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645830656).

2254432096 is an abundant number, since it is smaller than the sum of its proper divisors (3037229216).

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

2254432096 is a wasteful number, since it uses less digits than its factorization.

2254432096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 2254432096 is about 47480.8603123406. The cubic root of 2254432096 is about 1311.2305311081.

The spelling of 2254432096 in words is "two billion, two hundred fifty-four million, four hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 97 112 124 194 217 224 248 388 434 496 679 776 868 992 1358 1552 1736 2716 3007 3104 3347 3472 5432 6014 6694 6944 10864 12028 13388 21049 21728 23429 24056 26776 42098 46858 48112 53552 84196 93716 96224 103757 107104 168392 187432 207514 324659 336784 374864 415028 649318 673568 726299 749728 830056 1298636 1452598 1660112 2272613 2597272 2905196 3320224 4545226 5194544 5810392 9090452 10064429 10389088 11620784 18180904 20128858 23241568 36361808 40257716 70451003 72723616 80515432 140902006 161030864 281804012 322061728 563608024 1127216048 2254432096