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2228496504 = 23313311132039
BaseRepresentation
bin1000010011010100…
…0010100001111000
312202022022100111120
42010311002201320
514030443342004
61005044225240
7106136623233
oct20465024170
95668270446
102228496504
11a43a23453
1252239b220
132968cb1b0
14171d7841a
15d099a3d9
hex84d42878

2228496504 has 128 divisors (see below), whose sum is σ = 6251212800. Its totient is φ = 657377280.

The previous prime is 2228496451. The next prime is 2228496521. The reversal of 2228496504 is 4056948222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1091917 + ... + 1093955.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 22228496504 is an apocalyptic number.

2228496504 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 2228496504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125606400).

2228496504 is an abundant number, since it is smaller than the sum of its proper divisors (4022716296).

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

2228496504 is a wasteful number, since it uses less digits than its factorization.

2228496504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 2228496504 is about 47206.9539792603. The cubic root of 2228496504 is about 1306.1828754714.

The spelling of 2228496504 in words is "two billion, two hundred twenty-eight million, four hundred ninety-six thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 113 124 156 186 226 248 312 339 372 403 452 678 744 806 904 1209 1356 1469 1612 2039 2418 2712 2938 3224 3503 4078 4407 4836 5876 6117 7006 8156 8814 9672 10509 11752 12234 14012 16312 17628 21018 24468 26507 28024 35256 42036 45539 48936 53014 63209 79521 84072 91078 106028 126418 136617 159042 182156 189627 212056 230407 252836 273234 318084 364312 379254 460814 505672 546468 636168 691221 758508 821717 921628 1092936 1382442 1517016 1643434 1843256 2465151 2764884 2995291 3286868 4930302 5529768 5990582 6573736 7142617 8985873 9860604 11981164 14285234 17971746 19721208 21427851 23962328 28570468 35943492 42855702 57140936 71886984 85711404 92854021 171422808 185708042 278562063 371416084 557124126 742832168 1114248252 2228496504