Search a number
-
+
442242022224 = 24345739435113
BaseRepresentation
bin1100110111101111010…
…11011011101101010000
31120021111121101102210110
412123313223123231100
524221202424202344
6535055125201320
743644112110522
oct6336753335520
91507447342713
10442242022224
11160610101972
1271861b60240
133291b046372
1417594429a12
15b78514d3b9
hex66f7adbb50

442242022224 has 80 divisors (see below), whose sum is σ = 1145472831872. Its totient is φ = 147025373184.

The previous prime is 442242022223. The next prime is 442242022241. The reversal of 442242022224 is 422220242244.

It is a junction number, because it is equal to n+sod(n) for n = 442242022191 and 442242022200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442242022223) 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, 86491092 + ... + 86496204.

Almost surely, 2442242022224 is an apocalyptic number.

It is an amenable number.

442242022224 is an abundant number, since it is smaller than the sum of its proper divisors (703230809648).

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

442242022224 is a wasteful number, since it uses less digits than its factorization.

442242022224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442242022224 its reverse (422220242244), we get a palindrome (864462264468).

The spelling of 442242022224 in words is "four hundred forty-two billion, two hundred forty-two million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 457 914 1371 1828 2742 3656 3943 5113 5484 7312 7886 10226 10968 11829 15339 15772 20452 21936 23658 30678 31544 40904 47316 61356 63088 81808 94632 122712 189264 245424 1801951 2336641 3603902 4673282 5405853 7009923 7207804 9346564 10811706 14019846 14415608 18693128 20160559 21623412 28039692 28831216 37386256 40321118 43246824 56079384 60481677 80642236 86493648 112158768 120963354 161284472 241926708 322568944 483853416 967706832 9213375463 18426750926 27640126389 36853501852 55280252778 73707003704 110560505556 147414007408 221121011112 442242022224