Search a number
-
+
2254720608 = 253271765789
BaseRepresentation
bin1000011001100100…
…0100111001100000
312211010122200012200
42012121010321200
514104202024413
61011422253200
7106605544320
oct20631047140
95733580180
102254720608
11a57804a68
1252b127200
1329c18060a
14175643280
15d2e2a573
hex86644e60

2254720608 has 144 divisors (see below), whose sum is σ = 7759009440. Its totient is φ = 606302208.

The previous prime is 2254720603. The next prime is 2254720619. The reversal of 2254720608 is 8060274522.

2254720608 is a `hidden beast` number, since 2 + 2 + 5 + 47 + 2 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254720603) 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, 1378 + ... + 67166.

It is an arithmetic number, because the mean of its divisors is an integer number (53882010).

Almost surely, 22254720608 is an apocalyptic number.

2254720608 is a gapful number since it is divisible by the number (28) 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 2254720608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879504720).

2254720608 is an abundant number, since it is smaller than the sum of its proper divisors (5504288832).

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

2254720608 is a wasteful number, since it uses less digits than its factorization.

2254720608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65829 (or 65818 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2254720608 is about 47483.8984077761. The cubic root of 2254720608 is about 1311.2864638353.

The spelling of 2254720608 in words is "two billion, two hundred fifty-four million, seven hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 65789 131578 197367 263156 394734 460523 526312 592101 789468 921046 1052624 1118413 1184202 1381569 1578936 1842092 2105248 2236826 2368404 2763138 3157872 3355239 3684184 4144707 4473652 4736808 5526276 6315744 6710478 7368368 7828891 8289414 8947304 9473616 10065717 11052552 13420956 14736736 15657782 16578828 17894608 18947232 20131434 22105104 23486673 26841912 31315564 33157656 35789216 40262868 44210208 46973346 53683824 62631128 66315312 70460019 80525736 93946692 107367648 125262256 132630624 140920038 161051472 187893384 250524512 281840076 322102944 375786768 563680152 751573536 1127360304 2254720608