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2254323240 = 2332513481693
BaseRepresentation
bin1000011001011110…
…0011111000101000
312211002220111010100
42012113203320220
514104101320430
61011405545400
7106602300651
oct20627437050
95732814110
102254323240
11a57563464
1252ab75260
1329c0717a0
1417557c528
15d2d9c960
hex865e3e28

2254323240 has 96 divisors (see below), whose sum is σ = 7890147720. Its totient is φ = 554909184.

The previous prime is 2254323221. The next prime is 2254323241. The reversal of 2254323240 is 423234522.

It is a happy number.

2254323240 is a `hidden beast` number, since 225 + 432 + 3 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2029862916 + 224460324 = 45054^2 + 14982^2 .

It is not an unprimeable number, because it can be changed into a prime (2254323241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236167 + ... + 245526.

Almost surely, 22254323240 is an apocalyptic number.

2254323240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254323240 is an abundant number, since it is smaller than the sum of its proper divisors (5635824480).

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

2254323240 is a wasteful number, since it uses less digits than its factorization.

2254323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481723 (or 481716 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2254323240 is about 47479.7139839743. The cubic root of 2254323240 is about 1311.2094263684.

Adding to 2254323240 its reverse (423234522), we get a palindrome (2677557762).

The spelling of 2254323240 in words is "two billion, two hundred fifty-four million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 481693 963386 1445079 1926772 2408465 2890158 3853544 4335237 4816930 5780316 6262009 7225395 8670474 9633860 11560632 12524018 14450790 17340948 18786027 19267720 21676185 25048036 28901580 31310045 34681896 37572054 43352370 50096072 56358081 57803160 62620090 75144108 86704740 93930135 112716162 125240180 150288216 173409480 187860270 225432324 250480360 281790405 375720540 450864648 563580810 751441080 1127161620 2254323240