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242224002 = 23289151201
BaseRepresentation
bin11100111000000…
…00101110000010
3121212210020212100
432130000232002
5444002132002
640011411230
76000604266
oct1634005602
9555706770
10242224002
11114802529
1269153b16
133b24c217
14242540a6
15163ea11c
hexe700b82

242224002 has 24 divisors (see below), whose sum is σ = 530719020. Its totient is φ = 79833600.

The previous prime is 242223959. The next prime is 242224013. The reversal of 242224002 is 200422242.

242224002 is a `hidden beast` number, since 2 + 422 + 240 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212314041 + 29909961 = 14571^2 + 5469^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73999 + ... + 77202.

Almost surely, 2242224002 is an apocalyptic number.

242224002 is an abundant number, since it is smaller than the sum of its proper divisors (288495018).

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

242224002 is a wasteful number, since it uses less digits than its factorization.

242224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151298 (or 151295 counting only the distinct ones).

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

The square root of 242224002 is about 15563.5472177778. The cubic root of 242224002 is about 623.3601830701.

Adding to 242224002 its reverse (200422242), we get a palindrome (442646244).

It can be divided in two parts, 24222 and 4002, that added together give a square (28224 = 1682).

The spelling of 242224002 in words is "two hundred forty-two million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 151201 302402 453603 907206 1360809 2721618 13456889 26913778 40370667 80741334 121112001 242224002