Search a number
-
+
224001530632 = 231123281393853
BaseRepresentation
bin1101000010011110001…
…0000001101100001000
3210102012001101202211101
43100213202001230020
512132223342440012
6250523242111144
722116652410655
oct3204742015410
9712161352741
10224001530632
1186aa902a430
12374b57ab4b4
131817aa330c9
14abad9d8c2c
155c60668d57
hex3427881b08

224001530632 has 64 divisors (see below), whose sum is σ = 479808696960. Its totient is φ = 97045132800.

The previous prime is 224001530593. The next prime is 224001530633. The reversal of 224001530632 is 236035100422.

It is a self number, because there is not a number n which added to its sum of digits gives 224001530632.

It is not an unprimeable number, because it can be changed into a prime (224001530633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371818 + ... + 765670.

It is an arithmetic number, because the mean of its divisors is an integer number (7497010890).

Almost surely, 2224001530632 is an apocalyptic number.

224001530632 is a gapful number since it is divisible by the number (22) 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 224001530632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239904348480).

224001530632 is an abundant number, since it is smaller than the sum of its proper divisors (255807166328).

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

224001530632 is a wasteful number, since it uses less digits than its factorization.

224001530632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394174 (or 394170 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 224001530632 in words is "two hundred twenty-four billion, one million, five hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 281 506 562 1012 1124 2024 2248 3091 6182 6463 12364 12926 24728 25852 51704 71093 142186 284372 393853 568744 787706 1575412 3150824 4332383 8664766 9058619 17329532 18117238 34659064 36234476 72468952 99644809 110672693 199289618 221345386 398579236 442690772 797158472 885381544 1217399623 2434799246 2545471939 4869598492 5090943878 9739196984 10181887756 20363775512 28000191329 56000382658 112000765316 224001530632