Search a number
-
+
20304302422240 = 2551736720340101
BaseRepresentation
bin1001001110111011101101…
…01110111011100011100000
32122220001221202011020011201
410213131312232323203200
510130131202410002430
6111103400123050544
74163636353646314
oct447356656734340
978801852136151
1020304302422240
1165190084268a1
12233b139970a54
13b438c259c505
14502a3a957b44
152532651068ca
hex127776bbb8e0

20304302422240 has 96 divisors (see below), whose sum is σ = 50929011874944. Its totient is φ = 7623144038400.

The previous prime is 20304302422219. The next prime is 20304302422253. The reversal of 20304302422240 is 4222420340302.

It is a happy number.

It is a super-2 number, since 2×203043024222402 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20304302422199 and 20304302422208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9171811 + ... + 11168290.

It is an arithmetic number, because the mean of its divisors is an integer number (530510540364).

Almost surely, 220304302422240 is an apocalyptic number.

20304302422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20304302422240 is an abundant number, since it is smaller than the sum of its proper divisors (30624709452704).

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

20304302422240 is a wasteful number, since it uses less digits than its factorization.

20304302422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20340500 (or 20340492 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20304302422240 its reverse (4222420340302), we get a palindrome (24526722762542).

The spelling of 20304302422240 in words is "twenty trillion, three hundred four billion, three hundred two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 367 544 680 734 1360 1468 1835 2720 2936 3670 5872 6239 7340 11744 12478 14680 24956 29360 31195 49912 58720 62390 99824 124780 199648 249560 499120 998240 20340101 40680202 81360404 101700505 162720808 203401010 325441616 345781717 406802020 650883232 691563434 813604040 1383126868 1627208080 1728908585 2766253736 3254416160 3457817170 5532507472 6915634340 7464817067 11065014944 13831268680 14929634134 27662537360 29859268268 37324085335 55325074720 59718536536 74648170670 119437073072 126901890139 149296341340 238874146144 253803780278 298592682680 507607560556 597185365360 634509450695 1015215121112 1194370730720 1269018901390 2030430242224 2538037802780 4060860484448 5076075605560 10152151211120 20304302422240