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214512500500 = 22531409304489
BaseRepresentation
bin1100011111000111110…
…0001111111100010100
3202111200202010002120221
43013301330033330110
512003310200004000
6242313511204124
721332551112044
oct3076174177424
9674622102527
10214512500500
1182a79794671
12356a7976644
13172c7b6bb8c
14a54d685724
1558a758e61a
hex31f1f0ff14

214512500500 has 48 divisors (see below), whose sum is σ = 468829342800. Its totient is φ = 85743820800.

The previous prime is 214512500491. The next prime is 214512500539. The reversal of 214512500500 is 5005215412.

It can be written as a sum of positive squares in 8 ways, for example, as 185888597904 + 28623902596 = 431148^2 + 169186^2 .

It is a super-2 number, since 2×2145125005002 (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552256 + ... + 856744.

It is an arithmetic number, because the mean of its divisors is an integer number (9767277975).

Almost surely, 2214512500500 is an apocalyptic number.

214512500500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214512500500 is an abundant number, since it is smaller than the sum of its proper divisors (254316842300).

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

214512500500 is a wasteful number, since it uses less digits than its factorization.

214512500500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305917 (or 305905 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 214512500500 its reverse (5005215412), we get a palindrome (219517715912).

It can be divided in two parts, 214512500 and 500, that multiplied together give a square (107256250000 = 3275002).

The spelling of 214512500500 in words is "two hundred fourteen billion, five hundred twelve million, five hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1409 2818 5636 7045 14090 28180 35225 70450 140900 176125 304489 352250 608978 704500 1217956 1522445 3044890 6089780 7612225 15224450 30448900 38061125 76122250 152244500 429025001 858050002 1716100004 2145125005 4290250010 8580500020 10725625025 21451250050 42902500100 53628125125 107256250250 214512500500