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214012222120 = 23524112219123
BaseRepresentation
bin1100011101010000011…
…1110101101010101000
3202110101212202022200001
43013110013311222220
512001244112101440
6242152120352344
721314264605354
oct3072407655250
9673355668601
10214012222120
1182842358064
12355883156b4
131724831a178
14a50305a464
1558786bdb9a
hex31d41f5aa8

214012222120 has 32 divisors (see below), whose sum is σ = 481727437920. Its totient is φ = 85569344320.

The previous prime is 214012222091. The next prime is 214012222121. The reversal of 214012222120 is 21222210412.

214012222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214012222121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1013122 + ... + 1206001.

It is an arithmetic number, because the mean of its divisors is an integer number (15053982435).

Almost surely, 2214012222120 is an apocalyptic number.

214012222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214012222120 is an abundant number, since it is smaller than the sum of its proper divisors (267715215800).

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

214012222120 is a wasteful number, since it uses less digits than its factorization.

214012222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221545 (or 2221541 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 214012222120 its reverse (21222210412), we get a palindrome (235234432532).

The spelling of 214012222120 in words is "two hundred fourteen billion, twelve million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2411 4822 9644 12055 19288 24110 48220 96440 2219123 4438246 8876492 11095615 17752984 22191230 44382460 88764920 5350305553 10700611106 21401222212 26751527765 42802444424 53503055530 107006111060 214012222120