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2254033120 = 255232921121
BaseRepresentation
bin1000011001011001…
…1101000011100000
312211002100202011011
42012112131003200
514104013024440
61011355430304
7106566652063
oct20626350340
95732322134
102254033120
11a57385499
1252aa55394
1329bc9c711
141755048da
15d2d419ea
hex8659d0e0

2254033120 has 96 divisors (see below), whose sum is σ = 5748563520. Its totient is φ = 832634880.

The previous prime is 2254033087. The next prime is 2254033123. The reversal of 2254033120 is 213304522.

It is a junction number, because it is equal to n+sod(n) for n = 2254033091 and 2254033100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254033123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96160 + ... + 117280.

It is an arithmetic number, because the mean of its divisors is an integer number (59880870).

Almost surely, 22254033120 is an apocalyptic number.

2254033120 is a gapful number since it is divisible by the number (20) 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 2254033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874281760).

2254033120 is an abundant number, since it is smaller than the sum of its proper divisors (3494530400).

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

2254033120 is a wasteful number, since it uses less digits than its factorization.

2254033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21188 (or 21180 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2254033120 is about 47476.6586861375. The cubic root of 2254033120 is about 1311.1531752813.

Adding to 2254033120 its reverse (213304522), we get a palindrome (2467337642).

The spelling of 2254033120 in words is "two billion, two hundred fifty-four million, thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 80 92 115 116 145 160 184 230 232 290 368 460 464 580 667 736 920 928 1160 1334 1840 2320 2668 3335 3680 4640 5336 6670 10672 13340 21121 21344 26680 42242 53360 84484 105605 106720 168968 211210 337936 422420 485783 612509 675872 844840 971566 1225018 1689680 1943132 2428915 2450036 3062545 3379360 3886264 4857830 4900072 6125090 7772528 9715660 9800144 12250180 14087707 15545056 19431320 19600288 24500360 28175414 38862640 49000720 56350828 70438535 77725280 98001440 112701656 140877070 225403312 281754140 450806624 563508280 1127016560 2254033120