Search a number
-
+
42233311200 = 2535217597213
BaseRepresentation
bin100111010101010011…
…010010111111100000
311001000022102111112010
4213111103102333200
51142443211424300
631222434232520
73023403136113
oct472523227740
9131008374463
1042233311200
1116a0266a883
128227a25740
133ca0978092
14208903a57a
151172ad3a50
hex9d54d2fe0

42233311200 has 72 divisors (see below), whose sum is σ = 137469435768. Its totient is φ = 11262215680.

The previous prime is 42233311189. The next prime is 42233311231. The reversal of 42233311200 is 211333224.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8796207 + ... + 8801006.

It is an arithmetic number, because the mean of its divisors is an integer number (1909297719).

Almost surely, 242233311200 is an apocalyptic number.

42233311200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233311200 is an abundant number, since it is smaller than the sum of its proper divisors (95236124568).

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

42233311200 is a wasteful number, since it uses less digits than its factorization.

42233311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17597236 (or 17597223 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 42233311200 its reverse (211333224), we get a palindrome (42444644424).

The spelling of 42233311200 in words is "forty-two billion, two hundred thirty-three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 17597213 35194426 52791639 70388852 87986065 105583278 140777704 175972130 211166556 263958195 281555408 351944260 422333112 439930325 527916390 563110816 703888520 844666224 879860650 1055832780 1319790975 1407777040 1689332448 1759721300 2111665560 2639581950 2815554080 3519442600 4223331120 5279163900 7038885200 8446662240 10558327800 14077770400 21116655600 42233311200