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214122044343200 = 2552738236079347
BaseRepresentation
bin110000101011111000101100…
…011001000100001110100000
31001002010212102102112000111012
4300223320230121010032200
5211031133421322440300
62035222150442240052
763046543603540010
oct6053705431041640
91032125372460435
10214122044343200
1162253715977394
12200223534b6028
139262811acbc06
143ac37c2b17c40
1519b4c14664435
hexc2be2c6443a0

214122044343200 has 72 divisors (see below), whose sum is σ = 597400503733152. Its totient is φ = 73413272344320.

The previous prime is 214122044343173. The next prime is 214122044343257. The reversal of 214122044343200 is 2343440221412.

It is a happy number.

It is a super-2 number, since 2×2141220443432002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19118034074 + ... + 19118045273.

It is an arithmetic number, because the mean of its divisors is an integer number (8297229218516).

Almost surely, 2214122044343200 is an apocalyptic number.

214122044343200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214122044343200 is an abundant number, since it is smaller than the sum of its proper divisors (383278459389952).

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

214122044343200 is a wasteful number, since it uses less digits than its factorization.

214122044343200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38236079374 (or 38236079361 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 214122044343200 its reverse (2343440221412), we get a palindrome (216465484564612).

The spelling of 214122044343200 in words is "two hundred fourteen trillion, one hundred twenty-two billion, forty-four million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 38236079347 76472158694 152944317388 191180396735 267652555429 305888634776 382360793470 535305110858 611777269552 764721586940 955901983675 1070610221716 1223554539104 1338262777145 1529443173880 1911803967350 2141220443432 2676525554290 3058886347760 3823607934700 4282440886864 5353051108580 6117772695520 6691313885725 7647215869400 8564881773728 10706102217160 13382627771450 15294431738800 21412204434320 26765255542900 30588863477600 42824408868640 53530511085800 107061022171600 214122044343200