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220212241400 = 23523729758411
BaseRepresentation
bin1100110100010110101…
…1000010001111111000
3210001101222011221012202
43031011223002033320
512101443313211100
6245055240325332
721624031111334
oct3150553021770
9701358157182
10220212241400
1185434084338
1236818773848
13179c5978c28
14a9306547c4
155adcb667d5
hex3345ac23f8

220212241400 has 48 divisors (see below), whose sum is σ = 525831140040. Its totient is φ = 85704220800.

The previous prime is 220212241399. The next prime is 220212241409. The reversal of 220212241400 is 4142212022.

220212241400 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220212241409) 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 11 ways as a sum of consecutive naturals, for example, 14871806 + ... + 14886605.

Almost surely, 2220212241400 is an apocalyptic number.

220212241400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212241400 is an abundant number, since it is smaller than the sum of its proper divisors (305618898640).

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

220212241400 is a wasteful number, since it uses less digits than its factorization.

220212241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29758464 (or 29758455 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 220212241400 its reverse (4142212022), we get a palindrome (224354453422).

The spelling of 220212241400 in words is "two hundred twenty billion, two hundred twelve million, two hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1850 3700 7400 29758411 59516822 119033644 148792055 238067288 297584110 595168220 743960275 1101061207 1190336440 1487920550 2202122414 2975841100 4404244828 5505306035 5951682200 8808489656 11010612070 22021224140 27526530175 44042448280 55053060350 110106120700 220212241400