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214000211220 = 223531115053877
BaseRepresentation
bin1100011101001101101…
…0000001010100010100
3202110101001011002210220
43013103122001110110
512001233023224340
6242151011114340
721314060532225
oct3072332012424
9673331132726
10214000211220
11828365a40a4
12355842a29b0
13172459a3223
14a50161124c
1558775e9ed0
hex31d3681514

214000211220 has 48 divisors (see below), whose sum is σ = 618529648128. Its totient is φ = 55225860480.

The previous prime is 214000211219. The next prime is 214000211237. The reversal of 214000211220 is 22112000412.

It is a super-2 number, since 2×2140002112202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214000211220.

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, 57525079 + ... + 57528798.

It is an arithmetic number, because the mean of its divisors is an integer number (12886034336).

Almost surely, 2214000211220 is an apocalyptic number.

214000211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214000211220 is an abundant number, since it is smaller than the sum of its proper divisors (404529436908).

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

214000211220 is a wasteful number, since it uses less digits than its factorization.

214000211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115053920 (or 115053918 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 214000211220 its reverse (22112000412), we get a palindrome (236112211632).

The spelling of 214000211220 in words is "two hundred fourteen billion, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 115053877 230107754 345161631 460215508 575269385 690323262 1150538770 1380646524 1725808155 2301077540 3451616310 3566670187 6903232620 7133340374 10700010561 14266680748 17833350935 21400021122 35666701870 42800042244 53500052805 71333403740 107000105610 214000211220