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2442332442 = 231137005037
BaseRepresentation
bin1001000110010011…
…0000100100011010
320022012200100021010
42101210300210122
520000214114232
61042203354350
7114344324514
oct22144604432
96265610233
102442332442
1110436a6570
12581b229b6
132cbcbb034
1419251cbb4
15e46390cc
hex9193091a

2442332442 has 16 divisors (see below), whose sum is σ = 5328725472. Its totient is φ = 740100720.

The previous prime is 2442332419. The next prime is 2442332491.

2442332442 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18502453 + ... + 18502584.

It is an arithmetic number, because the mean of its divisors is an integer number (333045342).

Almost surely, 22442332442 is an apocalyptic number.

2442332442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2442332442 is an abundant number, since it is smaller than the sum of its proper divisors (2886393030).

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

2442332442 is a wasteful number, since it uses less digits than its factorization.

2442332442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37005053.

The product of its digits is 36864, while the sum is 30.

The square root of 2442332442 is about 49419.9599554674. The cubic root of 2442332442 is about 1346.6919355969.

It can be divided in two parts, 24423 and 32442, that added together give a palindrome (56865).

The spelling of 2442332442 in words is "two billion, four hundred forty-two million, three hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 37005037 74010074 111015111 222030222 407055407 814110814 1221166221 2442332442