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2442251461 = 131376132237
BaseRepresentation
bin1001000110010001…
…1100110011000101
320022012112020011211
42101210130303011
520000204021321
61042201531421
7114343536436
oct22144346305
96265466154
102442251461
111043650741
12581aa3b71
132cbc90210
141924db48d
15e46200e1
hex9191ccc5

2442251461 has 16 divisors (see below), whose sum is σ = 2654823024. Its totient is φ = 2233281024.

The previous prime is 2442251447. The next prime is 2442251473. The reversal of 2442251461 is 1641522442.

It can be written as a sum of positive squares in 8 ways, for example, as 299117025 + 2143134436 = 17295^2 + 46294^2 .

It is not a de Polignac number, because 2442251461 - 25 = 2442251429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442251411) 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, 1090635 + ... + 1092871.

It is an arithmetic number, because the mean of its divisors is an integer number (165926439).

Almost surely, 22442251461 is an apocalyptic number.

It is an amenable number.

2442251461 is a deficient number, since it is larger than the sum of its proper divisors (212571563).

2442251461 is a wasteful number, since it uses less digits than its factorization.

2442251461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000.

The product of its digits is 15360, while the sum is 31.

The square root of 2442251461 is about 49419.1406339689. The cubic root of 2442251461 is about 1346.6770512371.

The spelling of 2442251461 in words is "two billion, four hundred forty-two million, two hundred fifty-one thousand, four hundred sixty-one".

Divisors: 1 13 137 613 1781 2237 7969 29081 83981 306469 1091753 1371281 3984097 17826653 187865497 2442251461