Search a number
-
+
4310021220 = 22351737114203
BaseRepresentation
bin1000000001110010…
…11011010001100100
3102010101001202121120
410000321123101210
532311331134340
61551402413540
7211543401351
oct40071332144
912111052546
104310021220
11191199280a
12a035012b0
13538c1a91b
142cc5b5628
151a35b34d0
hex100e5b464

4310021220 has 96 divisors (see below), whose sum is σ = 13123410048. Its totient is φ = 1052485632.

The previous prime is 4310021207. The next prime is 4310021263. The reversal of 4310021220 is 221200134.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4310021220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19362 + ... + 94841.

It is an arithmetic number, because the mean of its divisors is an integer number (136702188).

Almost surely, 24310021220 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 4310021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561705024).

4310021220 is an abundant number, since it is smaller than the sum of its proper divisors (8813388828).

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

4310021220 is a wasteful number, since it uses less digits than its factorization.

4310021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114269 (or 114267 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4310021220 is about 65650.7518616504. The cubic root of 4310021220 is about 1627.3955950118.

Adding to 4310021220 its reverse (221200134), we get a palindrome (4531221354).

The spelling of 4310021220 in words is "four billion, three hundred ten million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 37740 114203 228406 342609 456812 571015 685218 1142030 1370436 1713045 1941451 2284060 3426090 3882902 4225511 5824353 6852180 7765804 8451022 9707255 11648706 12676533 16902044 19414510 21127555 23297412 25353066 29121765 38829020 42255110 50706132 58243530 63382665 71833687 84510220 116487060 126765330 143667374 215501061 253530660 287334748 359168435 431002122 718336870 862004244 1077505305 1436673740 2155010610 4310021220