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2422312431 = 371124123251
BaseRepresentation
bin1001000001100001…
…1000110111101111
320020211000012222020
42100120120313233
514430102444211
61040210321223
7114012213240
oct22030306757
96224005866
102422312431
111033372200
12577289213
132c7acb786
1418d9cacc7
15e29d2306
hex90618def

2422312431 has 48 divisors (see below), whose sum is σ = 4156341504. Its totient is φ = 1227600000.

The previous prime is 2422312429. The next prime is 2422312433. The reversal of 2422312431 is 1342132242.

It is a happy number.

2422312431 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2422312429) and next prime (2422312433).

It is not a de Polignac number, because 2422312431 - 21 = 2422312429 is a prime.

It is a super-2 number, since 2×24223124312 = 11735195026754259522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422312433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92556 + ... + 115806.

It is an arithmetic number, because the mean of its divisors is an integer number (86590448).

Almost surely, 22422312431 is an apocalyptic number.

2422312431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2422312431 is a deficient number, since it is larger than the sum of its proper divisors (1734029073).

2422312431 is a wasteful number, since it uses less digits than its factorization.

2422312431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23324 (or 23313 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2422312431 is about 49216.9933153174. The cubic root of 2422312431 is about 1343.0021851962.

Adding to 2422312431 its reverse (1342132242), we get a palindrome (3764444673).

The spelling of 2422312431 in words is "two billion, four hundred twenty-two million, three hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 7 11 21 33 41 77 121 123 231 287 363 451 847 861 1353 2541 3157 4961 9471 14883 23251 34727 69753 104181 162757 255761 488271 767283 953291 1790327 2813371 2859873 5370981 6673037 8440113 10486201 19693597 20019111 31458603 59080791 73403407 115348211 220210221 346044633 807437477 2422312431