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2422004032 = 26711347843
BaseRepresentation
bin1001000001011100…
…1101100101000000
320020210102112221001
42100113031211000
514430013112112
61040155541344
7114006460150
oct22027154500
96223375831
102422004032
111033181528
1257715a854
132c7a212a6
1418d94a760
15e2970c57
hex905cd940

2422004032 has 56 divisors (see below), whose sum is σ = 5541483456. Its totient is φ = 1028794368.

The previous prime is 2422004023. The next prime is 2422004131. The reversal of 2422004032 is 2304002242.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×24220040322 = 11732207062048514048, which contains 22 as substring.

It is a congruent number.

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, 26703 + ... + 74545.

Almost surely, 22422004032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770741728).

2422004032 is an abundant number, since it is smaller than the sum of its proper divisors (3119479424).

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

2422004032 is a wasteful number, since it uses less digits than its factorization.

2422004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47975 (or 47965 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 2422004032 is about 49213.8601615439. The cubic root of 2422004032 is about 1342.9451875791.

Adding to 2422004032 its reverse (2304002242), we get a palindrome (4726006274).

The spelling of 2422004032 in words is "two billion, four hundred twenty-two million, four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 791 904 1582 1808 3164 3616 6328 7232 12656 25312 47843 50624 95686 191372 334901 382744 669802 765488 1339604 1530976 2679208 3061952 5358416 5406259 10716832 10812518 21433664 21625036 37843813 43250072 75687626 86500144 151375252 173000288 302750504 346000576 605501008 1211002016 2422004032