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214442332000 = 2553134123891
BaseRepresentation
bin1100011110110111000…
…0100100111101100000
3202111111212002011111121
43013231300210331200
512003134214111000
6242302523222024
721331036514131
oct3075560447540
9674455064447
10214442332000
1182a43118a76
1235688377914
13172b6471760
14a54421bc88
1558a132db1a
hex31edc24f60

214442332000 has 96 divisors (see below), whose sum is σ = 567414548064. Its totient is φ = 79178688000.

The previous prime is 214442331997. The next prime is 214442332031. The reversal of 214442332000 is 233244412.

It is a happy number.

214442332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 2009946 + ... + 2113945.

It is an arithmetic number, because the mean of its divisors is an integer number (5910568209).

Almost surely, 2214442332000 is an apocalyptic number.

214442332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214442332000 is an abundant number, since it is smaller than the sum of its proper divisors (352972216064).

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

214442332000 is a wasteful number, since it uses less digits than its factorization.

214442332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4123929 (or 4123911 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214442332000 its reverse (233244412), we get a palindrome (214675576412).

The spelling of 214442332000 in words is "two hundred fourteen billion, four hundred forty-two million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 26000 52000 4123891 8247782 16495564 20619455 32991128 41238910 53610583 65982256 82477820 103097275 107221166 131964512 164955640 206194550 214442332 268052915 329911280 412389100 428884664 515486375 536105830 659822560 824778200 857769328 1030972750 1072211660 1340264575 1649556400 1715538656 2061945500 2144423320 2680529150 3299112800 4123891000 4288846640 5361058300 6701322875 8247782000 8577693280 10722116600 13402645750 16495564000 21444233200 26805291500 42888466400 53610583000 107221166000 214442332000