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20434302224 = 2472101258061
BaseRepresentation
bin10011000001111110…
…101011010100010000
31221202002202002220022
4103001332223110100
5313322140132344
613215402003012
71322244463100
oct230176532420
957662662808
1020434302224
1187366a3786
123b634a6468
131c086694bb
14dbbc59200
157e8e580ee
hex4c1fab510

20434302224 has 60 divisors (see below), whose sum is σ = 46511546508. Its totient is φ = 8670816000.

The previous prime is 20434302193. The next prime is 20434302253. The reversal of 20434302224 is 42220343402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19717776400 + 716525824 = 140420^2 + 26768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20434302193 and 20434302202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49847 + ... + 208214.

Almost surely, 220434302224 is an apocalyptic number.

It is an amenable number.

20434302224 is an abundant number, since it is smaller than the sum of its proper divisors (26077244284).

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

20434302224 is a wasteful number, since it uses less digits than its factorization.

20434302224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258184 (or 258171 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 20434302224 its reverse (42220343402), we get a palindrome (62654645626).

The spelling of 20434302224 in words is "twenty billion, four hundred thirty-four million, three hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 101 112 196 202 392 404 707 784 808 1414 1616 2828 4949 5656 9898 11312 19796 39592 79184 258061 516122 1032244 1806427 2064488 3612854 4128976 7225708 12644989 14451416 25289978 26064161 28902832 50579956 52128322 101159912 104256644 182449127 202319824 208513288 364898254 417026576 729796508 1277143889 1459593016 2554287778 2919186032 5108575556 10217151112 20434302224