Search a number
-
+
242230443232 = 25371675872087
BaseRepresentation
bin1110000110011000001…
…1110011110011100000
3212011020110022110220111
43201212003303303200
512432041443140412
6303140143021104
723333460536521
oct3414603636340
9764213273814
10242230443232
1193802852258
123ab4259a794
1319ac4501a1b
14ba1c9b2848
15647ab8d2a7
hex38660f3ce0

242230443232 has 96 divisors (see below), whose sum is σ = 493788814848. Its totient is φ = 116880615936.

The previous prime is 242230443227. The next prime is 242230443239. The reversal of 242230443232 is 232344032242.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 242230443194 and 242230443203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242230443239) 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, 116065293 + ... + 116067379.

It is an arithmetic number, because the mean of its divisors is an integer number (5143633488).

Almost surely, 2242230443232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242230443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246894407424).

242230443232 is an abundant number, since it is smaller than the sum of its proper divisors (251558371616).

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

242230443232 is a wasteful number, since it uses less digits than its factorization.

242230443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 31.

Adding to 242230443232 its reverse (232344032242), we get a palindrome (474574475474).

The spelling of 242230443232 in words is "two hundred forty-two billion, two hundred thirty million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 74 148 167 296 334 587 592 668 1174 1184 1336 2087 2348 2672 4174 4696 5344 6179 8348 9392 12358 16696 18784 21719 24716 33392 43438 49432 66784 77219 86876 98029 98864 154438 173752 196058 197728 308876 347504 348529 392116 617752 695008 697058 784232 1225069 1235504 1394116 1568464 2450138 2471008 2788232 3136928 3627073 4900276 5576464 7254146 9800552 11152928 12895573 14508292 19601104 25791146 29016584 39202208 45327553 51582292 58033168 90655106 103164584 116066336 181310212 204586523 206329168 362620424 409173046 412658336 725240848 818346092 1450481696 1636692184 3273384368 6546768736 7569701351 15139402702 30278805404 60557610808 121115221616 242230443232