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242044002 = 2321921932
BaseRepresentation
bin11100110110101…
…00110001100010
3121212110002221200
432123110301202
5443430402002
640003502030
75666224434
oct1633246142
9555402850
10242044002
1111469a272
1269087916
133b1b8305
1424208654
15163b1b1c
hexe6d4c62

242044002 has 54 divisors (see below), whose sum is σ = 556365537. Its totient is φ = 76038912.

The previous prime is 242043929. The next prime is 242044007. The reversal of 242044002 is 200440242.

242044002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 224730081 + 17313921 = 14991^2 + 4161^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=11001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (242044007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1254018 + ... + 1254210.

Almost surely, 2242044002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242044002

242044002 is an abundant number, since it is smaller than the sum of its proper divisors (314321535).

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

242044002 is a wasteful number, since it uses less digits than its factorization.

242044002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 242044002 is about 15557.7633996664. The cubic root of 242044002 is about 623.2057356204.

Multiplying 242044002 by its sum of digits (18), we get a square (4356792036 = 660062).

242044002 divided by its sum of digits (18) gives a square (13446889 = 36672).

Multiplying 242044002 by its product of nonzero digits (512), we get a square (123926529024 = 3520322).

Adding to 242044002 its reverse (200440242), we get a palindrome (442484244).

The spelling of 242044002 in words is "two hundred forty-two million, forty-four thousand, two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 193 342 361 386 579 722 1083 1158 1737 2166 3249 3474 3667 6498 7334 11001 22002 33003 37249 66006 69673 74498 111747 139346 209019 223494 335241 418038 627057 670482 707731 1254114 1415462 2123193 4246386 6369579 12739158 13446889 26893778 40340667 80681334 121022001 242044002