Search a number
-
+
223880202 = 232713314409
BaseRepresentation
bin11010101100000…
…10010000001010
3120121021021220100
431112002100022
5424303131302
634114310230
75355643650
oct1526022012
9517237810
10223880202
11105413567
1262b88376
13374c88c0
1421a3add0
15149c4d1c
hexd58240a

223880202 has 96 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 57127680.

The previous prime is 223880201. The next prime is 223880207. The reversal of 223880202 is 202088322.

223880202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (223880201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48574 + ... + 52982.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2223880202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223880202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308206080).

223880202 is an abundant number, since it is smaller than the sum of its proper divisors (392531958).

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

223880202 is a wasteful number, since it uses less digits than its factorization.

223880202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 223880202 is about 14962.6268415676. The cubic root of 223880202 is about 607.2095080192.

The spelling of 223880202 in words is "two hundred twenty-three million, eight hundred eighty thousand, two hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 62 63 78 91 93 117 126 182 186 217 234 273 279 403 434 546 558 651 806 819 1209 1302 1638 1953 2418 2821 3627 3906 4409 5642 7254 8463 8818 13227 16926 25389 26454 30863 39681 50778 57317 61726 79362 92589 114634 136679 171951 185178 273358 277767 343902 401219 410037 515853 555534 802438 820074 956753 1031706 1203657 1230111 1776827 1913506 2407314 2460222 2870259 3553654 3610971 5330481 5740518 7221942 8610777 10660962 12437789 15991443 17221554 24875578 31982886 37313367 74626734 111940101 223880202