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2315441072 = 247171936301
BaseRepresentation
bin1000101000000010…
…1101001110110000
312222100220121000202
42022000231032300
514220223103242
61021431534332
7111243632030
oct21200551660
95870817022
102315441072
11a8900816a
1254752a3a8
132ab920499
1417d72b8c0
15d8421932
hex8a02d3b0

2315441072 has 80 divisors (see below), whose sum is σ = 5457632832. Its totient is φ = 928972800.

The previous prime is 2315441069. The next prime is 2315441101. The reversal of 2315441072 is 2701445132.

It is a super-2 number, since 2×23154410722 = 10722534715809018368, which contains 22 as substring.

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, 364322 + ... + 370622.

Almost surely, 22315441072 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 2315441072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728816416).

2315441072 is an abundant number, since it is smaller than the sum of its proper divisors (3142191760).

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

2315441072 is a wasteful number, since it uses less digits than its factorization.

2315441072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2315441072 is about 48119.0302479175. The cubic root of 2315441072 is about 1322.9534937748.

The spelling of 2315441072 in words is "two billion, three hundred fifteen million, four hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 193 238 272 386 476 772 952 1351 1544 1904 2702 3088 3281 5404 6301 6562 10808 12602 13124 21616 22967 25204 26248 44107 45934 50408 52496 88214 91868 100816 107117 176428 183736 214234 352856 367472 428468 705712 749819 856936 1216093 1499638 1713872 2432186 2999276 4864372 5998552 8512651 9728744 11997104 17025302 19457488 20673581 34050604 41347162 68101208 82694324 136202416 144715067 165388648 289430134 330777296 578860268 1157720536 2315441072