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2210214420 = 2232516277547
BaseRepresentation
bin1000001110111101…
…0011001000010100
312201000220112012100
42003233103020110
514011303330140
61003152322100
7105525340551
oct20357231024
95630815170
102210214420
11a34676897
12518243330
13292b999ab
1416d779a28
15ce088530
hex83bd3214

2210214420 has 72 divisors (see below), whose sum is σ = 6709326624. Its totient is φ = 588950208.

The previous prime is 2210214379. The next prime is 2210214469. The reversal of 2210214420 is 244120122.

2210214420 is a `hidden beast` number, since 22 + 10 + 214 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2210214393 and 2210214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289087 + ... + 296633.

It is an arithmetic number, because the mean of its divisors is an integer number (93185092).

Almost surely, 22210214420 is an apocalyptic number.

2210214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210214420 is an abundant number, since it is smaller than the sum of its proper divisors (4499112204).

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

2210214420 is a wasteful number, since it uses less digits than its factorization.

2210214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9189 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2210214420 is about 47012.9175865527. The cubic root of 2210214420 is about 1302.6011862598.

Adding to 2210214420 its reverse (244120122), we get a palindrome (2454334542).

The spelling of 2210214420 in words is "two billion, two hundred ten million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1627 3254 4881 6508 7547 8135 9762 14643 15094 16270 19524 22641 24405 29286 30188 32540 37735 45282 48810 58572 67923 73215 75470 90564 97620 113205 135846 146430 150940 226410 271692 292860 339615 452820 679230 1358460 12278969 24557938 36836907 49115876 61394845 73673814 110510721 122789690 147347628 184184535 221021442 245579380 368369070 442042884 552553605 736738140 1105107210 2210214420