Search a number
-
+
2556910224 = 2432114139371
BaseRepresentation
bin1001100001100111…
…0101101010010000
320121012021111102200
42120121311222100
520214032111344
61101415243200
7120235243521
oct23031655220
96535244380
102556910224
1110a2344550
125b4379500
13319966c3b
141a3826848
15ee71d069
hex98675a90

2556910224 has 120 divisors (see below), whose sum is σ = 7996925664. Its totient is φ = 755904000.

The previous prime is 2556910189. The next prime is 2556910231. The reversal of 2556910224 is 4220196552.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45259 + ... + 84629.

Almost surely, 22556910224 is an apocalyptic number.

2556910224 is a gapful number since it is divisible by the number (24) 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 2556910224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998462832).

2556910224 is an abundant number, since it is smaller than the sum of its proper divisors (5440015440).

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

2556910224 is a wasteful number, since it uses less digits than its factorization.

2556910224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39437 (or 39428 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2556910224 is about 50565.8998140051. The cubic root of 2556910224 is about 1367.4301771671.

The spelling of 2556910224 in words is "two billion, five hundred fifty-six million, nine hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 82 88 99 123 132 144 164 176 198 246 264 328 369 396 451 492 528 656 738 792 902 984 1353 1476 1584 1804 1968 2706 2952 3608 4059 5412 5904 7216 8118 10824 16236 21648 32472 39371 64944 78742 118113 157484 236226 314968 354339 433081 472452 629936 708678 866162 944904 1299243 1417356 1614211 1732324 1889808 2598486 2834712 3228422 3464648 3897729 4842633 5196972 5669424 6456844 6929296 7795458 9685266 10393944 12913688 14527899 15590916 17756321 19370532 20787888 25827376 29055798 31181832 35512642 38741064 53268963 58111596 62363664 71025284 77482128 106537926 116223192 142050568 159806889 213075852 232446384 284101136 319613778 426151704 639227556 852303408 1278455112 2556910224