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2242372653 = 38341773
BaseRepresentation
bin1000010110100111…
…1110010000101101
312210021102100000000
42011221332100231
514043021411103
61010301454513
7106365565413
oct20551762055
95707370000
102242372653
11a50840844
12526b71439
13299749131
14173b4b2b3
15d1cdbaa3
hex85a7e42d

2242372653 has 18 divisors (see below), whose sum is σ = 3363397934. Its totient is φ = 1494910728.

The previous prime is 2242372637. The next prime is 2242372663. The reversal of 2242372653 is 3562732422.

2242372653 is a `hidden beast` number, since 224 + 2 + 372 + 65 + 3 = 666.

2242372653 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 only one way, i.e., 1492817769 + 749554884 = 38637^2 + 27378^2 .

It is not a de Polignac number, because 2242372653 - 24 = 2242372637 is a prime.

It is a super-2 number, since 2×22423726532 = 10056470229844516818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242372663) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 164326 + ... + 177447.

Almost surely, 22242372653 is an apocalyptic number.

It is an amenable number.

2242372653 is a deficient number, since it is larger than the sum of its proper divisors (1121025281).

2242372653 is an frugal number, since it uses more digits than its factorization.

2242372653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341797 (or 341776 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 2242372653 is about 47353.6973530051. The cubic root of 2242372653 is about 1308.8883316151. Note that the first 3 decimals are identical.

The spelling of 2242372653 in words is "two billion, two hundred forty-two million, three hundred seventy-two thousand, six hundred fifty-three".

Divisors: 1 3 9 27 81 243 729 2187 6561 341773 1025319 3075957 9227871 27683613 83050839 249152517 747457551 2242372653