Search a number
-
+
2070224016 = 243789107647
BaseRepresentation
bin111101101100101…
…0001110010010000
312100021111021110120
41323121101302100
513214434132031
6541232030240
7102205420350
oct17331216220
95307437416
102070224016
11972650a43
12499392380
1326cb93b33
14158d38b60
15c1b34a96
hex7b651c90

2070224016 has 160 divisors (see below), whose sum is σ = 6248171520. Its totient is φ = 578485248.

The previous prime is 2070224003. The next prime is 2070224063. The reversal of 2070224016 is 6104220702.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199405 + ... + 3200051.

It is an arithmetic number, because the mean of its divisors is an integer number (39051072).

Almost surely, 22070224016 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 2070224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124085760).

2070224016 is an abundant number, since it is smaller than the sum of its proper divisors (4177947504).

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

2070224016 is a wasteful number, since it uses less digits than its factorization.

2070224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2070224016 is about 45499.7144606425. The cubic root of 2070224016 is about 1274.4978704013.

Adding to 2070224016 its reverse (6104220702), we get a palindrome (8174444718).

The spelling of 2070224016 in words is "two billion, seventy million, two hundred twenty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 107 112 168 178 214 267 321 336 356 428 534 623 642 647 712 749 856 1068 1246 1284 1294 1424 1498 1712 1869 1941 2136 2247 2492 2568 2588 2996 3738 3882 4272 4494 4529 4984 5136 5176 5992 7476 7764 8988 9058 9523 9968 10352 11984 13587 14952 15528 17976 18116 19046 27174 28569 29904 31056 35952 36232 38092 54348 57138 57583 66661 69229 72464 76184 108696 114276 115166 133322 138458 152368 172749 199983 207687 217392 228552 230332 266644 276916 345498 399966 403081 415374 457104 460664 484603 533288 553832 690996 799932 806162 830748 921328 969206 1066576 1107664 1209243 1381992 1453809 1599864 1612324 1661496 1938412 2418486 2763984 2907618 3199728 3224648 3322992 3876824 4836972 5815236 6161381 6449296 7753648 9673944 11630472 12322762 18484143 19347888 23260944 24645524 36968286 43129667 49291048 73936572 86259334 98582096 129389001 147873144 172518668 258778002 295746288 345037336 517556004 690074672 1035112008 2070224016