Search a number
-
+
224695940 = 22576183317
BaseRepresentation
bin11010110010010…
…01011010000100
3120122210201212212
431121021122010
5430010232230
634144002552
75365612130
oct1531113204
9518721785
10224695940
11105920427
1263300458
1337722ca1
1421bb03c0
1514ad6895
hexd649684

224695940 has 96 divisors (see below), whose sum is σ = 556464384. Its totient is φ = 74626560.

The previous prime is 224695909. The next prime is 224695943. The reversal of 224695940 is 49596422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (224695943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708662 + ... + 708978.

It is an arithmetic number, because the mean of its divisors is an integer number (5796504).

Almost surely, 2224695940 is an apocalyptic number.

224695940 is a gapful number since it is divisible by the number (20) 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 224695940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278232192).

224695940 is an abundant number, since it is smaller than the sum of its proper divisors (331768444).

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

224695940 is a wasteful number, since it uses less digits than its factorization.

224695940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 224695940 is about 14989.8612401850. The cubic root of 224695940 is about 607.9460976279.

The spelling of 224695940 in words is "two hundred twenty-four million, six hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 83 122 140 166 244 305 317 332 415 427 581 610 634 830 854 1162 1220 1268 1585 1660 1708 2135 2219 2324 2905 3170 4270 4438 5063 5810 6340 8540 8876 10126 11095 11620 19337 20252 22190 25315 26311 35441 38674 44380 50630 52622 70882 77348 96685 101260 105244 131555 135359 141764 177205 184177 193370 263110 270718 354410 368354 386740 526220 541436 676795 708820 736708 920885 1353590 1604971 1841770 2707180 3209942 3683540 6419884 8024855 11234797 16049710 22469594 32099420 44939188 56173985 112347970 224695940