Search a number
-
+
400022024300 = 225247816110429
BaseRepresentation
bin1011101001000110010…
…10111011000001101100
31102020112020000022122122
411310203022323001230
523023221114234200
6503433444132112
740620630050543
oct5644312730154
91366466008578
10400022024300
111447150055a8
126563a697038
132b95007cc82
141550b09715a
15a6137e9385
hex5d232bb06c

400022024300 has 72 divisors (see below), whose sum is σ = 886710538560. Its totient is φ = 156570163200.

The previous prime is 400022024291. The next prime is 400022024323. The reversal of 400022024300 is 3420220004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38351486 + ... + 38361914.

Almost surely, 2400022024300 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 400022024300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443355269280).

400022024300 is an abundant number, since it is smaller than the sum of its proper divisors (486688514260).

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

400022024300 is a wasteful number, since it uses less digits than its factorization.

400022024300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651 (or 18644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

Adding to 400022024300 its reverse (3420220004), we get a palindrome (403442244304).

The spelling of 400022024300 in words is "four hundred billion, twenty-two million, twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 8161 10429 16322 20858 32644 40805 41716 52145 81610 104290 163220 204025 208580 260725 383567 408050 490163 521450 767134 816100 980326 1042900 1534268 1917835 1960652 2450815 3835670 4901630 7671340 9589175 9803260 12254075 19178350 24508150 38356700 49016300 85111069 170222138 340444276 425555345 851110690 1702221380 2127776725 4000220243 4255553450 8000440486 8511106900 16000880972 20001101215 40002202430 80004404860 100005506075 200011012150 400022024300