Search a number
-
+
224908513928 = 237217214092
BaseRepresentation
bin1101000101110110010…
…1111001001010001000
3210111112021001022000022
43101131211321022020
512141103034421203
6251153242000012
722151304553100
oct3213545711210
9714467038008
10224908513928
1187423aa13aa
12377094a6008
1318293903207
14ac58252200
155cb50c4a38
hex345d979288

224908513928 has 108 divisors (see below), whose sum is σ = 521476587135. Its totient is φ = 90655014912.

The previous prime is 224908513909. The next prime is 224908513961. The reversal of 224908513928 is 829315809422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 35493806404 + 189414707524 = 188398^2 + 435218^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=335342.

It is a self number, because there is not a number n which added to its sum of digits gives 224908513928.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159622088 + ... + 159623496.

Almost surely, 2224908513928 is an apocalyptic number.

224908513928 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 224908513928

224908513928 is an abundant number, since it is smaller than the sum of its proper divisors (296568073207).

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

224908513928 is an equidigital number, since it uses as much as digits as its factorization.

224908513928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 224908513928 in words is "two hundred twenty-four billion, nine hundred eight million, five hundred thirteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 289 392 476 578 833 952 1156 1409 1666 2023 2312 2818 3332 4046 5636 6664 8092 9863 11272 14161 16184 19726 23953 28322 39452 47906 56644 69041 78904 95812 113288 138082 167671 191624 276164 335342 407201 552328 670684 814402 1173697 1341368 1628804 1985281 2347394 2850407 3257608 3970562 4694788 5700814 7941124 9389576 11401628 13896967 15882248 19952849 22803256 27793934 33749777 39905698 55587868 67499554 79811396 97278769 111175736 134999108 159622792 194557538 236248439 269998216 389115076 472496878 573746209 778230152 944993756 1147492418 1653739073 1889987512 2294984836 3307478146 4016223463 4589969672 6614956292 8032446926 13229912584 16064893852 28113564241 32129787704 56227128482 112454256964 224908513928