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2214420 = 22351317167
BaseRepresentation
bin1000011100101000010100
311011111121120
420130220110
51031330140
6115243540
724552015
oct10345024
94144546
102214420
1112827aa
128a95b0
135c6c10
1441900c
152db1d0
hex21ca14

2214420 has 96 divisors (see below), whose sum is σ = 7112448. Its totient is φ = 509952.

The previous prime is 2214383. The next prime is 2214473. The reversal of 2214420 is 244122.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2214420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13177 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (74088).

22214420 is an apocalyptic number.

2214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556224).

2214420 is an abundant number, since it is smaller than the sum of its proper divisors (4898028).

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

2214420 is a wasteful number, since it uses less digits than its factorization.

2214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2214420 is about 1488.0927390455. The cubic root of 2214420 is about 130.3426856158.

Adding to 2214420 its reverse (244122), we get a palindrome (2458542).

The spelling of 2214420 in words is "two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 167 170 195 204 221 255 260 334 340 390 442 501 510 663 668 780 835 884 1002 1020 1105 1326 1670 2004 2171 2210 2505 2652 2839 3315 3340 4342 4420 5010 5678 6513 6630 8517 8684 10020 10855 11356 13026 13260 14195 17034 21710 26052 28390 32565 34068 36907 42585 43420 56780 65130 73814 85170 110721 130260 147628 170340 184535 221442 369070 442884 553605 738140 1107210 2214420