Search a number
-
+
224043330400 = 25521173123873
BaseRepresentation
bin1101000010101000000…
…1011110101101100000
3210102021222001102022221
43100222001132231200
512132320043033100
6250531334040424
722121000613121
oct3205201365540
9712258042287
10224043330400
118701a68a19a
12375077a9114
13181865a9bb6
14abb539a048
155c6417401a
hex342a05eb60

224043330400 has 72 divisors (see below), whose sum is σ = 547015316904. Its totient is φ = 89605939200.

The previous prime is 224043330383. The next prime is 224043330409. The reversal of 224043330400 is 4033340422.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224043330409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9372864 + ... + 9396736.

It is an arithmetic number, because the mean of its divisors is an integer number (7597434957).

Almost surely, 2224043330400 is an apocalyptic number.

224043330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224043330400 is an abundant number, since it is smaller than the sum of its proper divisors (322971986504).

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

224043330400 is a wasteful number, since it uses less digits than its factorization.

224043330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35624 (or 35611 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 224043330400 its reverse (4033340422), we get a palindrome (228076670822).

The spelling of 224043330400 in words is "two hundred twenty-four billion, forty-three million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 11731 23462 23873 46924 47746 58655 93848 95492 117310 119365 187696 190984 234620 238730 293275 375392 381968 469240 477460 586550 596825 763936 938480 954920 1173100 1193650 1876960 1909840 2346200 2387300 3819680 4692400 4774600 9384800 9549200 19098400 280054163 560108326 1120216652 1400270815 2240433304 2800541630 4480866608 5601083260 7001354075 8961733216 11202166520 14002708150 22404333040 28005416300 44808666080 56010832600 112021665200 224043330400