Search a number
-
+
4570022700 = 22335213012
BaseRepresentation
bin1000100000110010…
…10000001100101100
3102210111022012121000
410100121100030230
533324411211300
62033251240300
7221151360225
oct42031201454
912714265530
104570022700
111a35727771
12a765a9090
1357aa52759
14314d3624c
151bb320c00
hex11065032c

4570022700 has 108 divisors (see below), whose sum is σ = 14703078040. Its totient is φ = 1217736000.

The previous prime is 4570022693. The next prime is 4570022719. The reversal of 4570022700 is 72200754.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4570022700 is a `hidden beast` number, since 4 + 570 + 0 + 22 + 70 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3512050 + ... + 3513350.

Almost surely, 24570022700 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 4570022700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351539020).

4570022700 is an abundant number, since it is smaller than the sum of its proper divisors (10133055340).

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

4570022700 is a wasteful number, since it uses less digits than its factorization.

4570022700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 4570022700 is about 67601.9430194133. The cubic root of 4570022700 is about 1659.4829158327.

Multiplying 4570022700 by its sum of digits (27), we get a square (123390612900 = 3512702).

4570022700 divided by its sum of digits (27) gives a square (169260100 = 130102).

The spelling of 4570022700 in words is "four billion, five hundred seventy million, twenty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1301 1350 2602 2700 3903 5204 6505 7806 11709 13010 15612 19515 23418 26020 32525 35127 39030 46836 58545 65050 70254 78060 97575 117090 130100 140508 175635 195150 234180 292725 351270 390300 585450 702540 878175 1170900 1692601 1756350 3385202 3512700 5077803 6770404 8463005 10155606 15233409 16926010 20311212 25389015 30466818 33852020 42315025 45700227 50778030 60933636 76167045 84630050 91400454 101556060 126945075 152334090 169260100 182800908 228501135 253890150 304668180 380835225 457002270 507780300 761670450 914004540 1142505675 1523340900 2285011350 4570022700