Search a number
-
+
2422204032 = 273471031303
BaseRepresentation
bin1001000001011111…
…1110011010000000
320020210210201021110
42100113332122000
514430041012112
61040204123320
7114011252223
oct22027763200
96223721243
102422204032
1110332a8816
12577236540
132c7a91331
1418d99d5ba
15e29b013c
hex905fe680

2422204032 has 128 divisors (see below), whose sum is σ = 6639759360. Its totient is φ = 781949952.

The previous prime is 2422204019. The next prime is 2422204049. The reversal of 2422204032 is 2304022242.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858293 + ... + 1859595.

It is an arithmetic number, because the mean of its divisors is an integer number (51873120).

Almost surely, 22422204032 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 2422204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319879680).

2422204032 is an abundant number, since it is smaller than the sum of its proper divisors (4217555328).

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

2422204032 is a wasteful number, since it uses less digits than its factorization.

2422204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2422204032 is about 49215.8920675019. The cubic root of 2422204032 is about 1342.9821516856.

Adding to 2422204032 its reverse (2304022242), we get a palindrome (4726226274).

The spelling of 2422204032 in words is "two billion, four hundred twenty-two million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 103 128 141 188 192 206 282 309 376 384 412 564 618 752 824 1128 1236 1303 1504 1648 2256 2472 2606 3008 3296 3909 4512 4841 4944 5212 6016 6592 7818 9024 9682 9888 10424 13184 14523 15636 18048 19364 19776 20848 29046 31272 38728 39552 41696 58092 61241 62544 77456 83392 116184 122482 125088 134209 154912 166784 183723 232368 244964 250176 268418 309824 367446 402627 464736 489928 500352 536836 619648 734892 805254 929472 979856 1073672 1469784 1610508 1858944 1959712 2147344 2939568 3221016 3919424 4294688 5879136 6307823 6442032 7838848 8589376 11758272 12615646 12884064 17178752 18923469 23516544 25231292 25768128 37846938 50462584 51536256 75693876 100925168 151387752 201850336 302775504 403700672 605551008 807401344 1211102016 2422204032