Search a number
-
+
2290000128 = 28313347661
BaseRepresentation
bin1000100001111110…
…1010000100000000
312220121001001121120
42020133222010000
514142220001003
61015122352240
7110514452133
oct21037520400
95817031546
102290000128
11a75710a99
1253aabb680
132a6583680
1417a1c821a
15d6098853
hex887ea100

2290000128 has 144 divisors (see below), whose sum is σ = 6592439616. Its totient is φ = 701521920.

The previous prime is 2290000123. The next prime is 2290000159. The reversal of 2290000128 is 8210000922.

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

It is a junction number, because it is equal to n+sod(n) for n = 2290000098 and 2290000107.

It is not an unprimeable number, because it can be changed into a prime (2290000123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3464118 + ... + 3464778.

Almost surely, 22290000128 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 2290000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3296219808).

2290000128 is an abundant number, since it is smaller than the sum of its proper divisors (4302439488).

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

2290000128 is a wasteful number, since it uses less digits than its factorization.

2290000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2290000128 is about 47853.9457934244. The cubic root of 2290000128 is about 1318.0903147477.

The spelling of 2290000128 in words is "two billion, two hundred ninety million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 347 384 416 624 661 694 768 832 1041 1248 1322 1388 1664 1983 2082 2496 2644 2776 3328 3966 4164 4511 4992 5288 5552 7932 8328 8593 9022 9984 10576 11104 13533 15864 16656 17186 18044 21152 22208 25779 27066 31728 33312 34372 36088 42304 44416 51558 54132 63456 66624 68744 72176 84608 88832 103116 108264 126912 133248 137488 144352 169216 206232 216528 229367 253824 266496 274976 288704 412464 433056 458734 507648 549952 577408 688101 824928 866112 917468 1099904 1154816 1376202 1649856 1732224 1834936 2199808 2752404 2981771 3299712 3464448 3669872 5504808 5963542 6599424 7339744 8945313 11009616 11927084 14679488 17890626 22019232 23854168 29358976 35781252 44038464 47708336 58717952 71562504 88076928 95416672 143125008 176153856 190833344 286250016 381666688 572500032 763333376 1145000064 2290000128