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2219412 = 2231341347
BaseRepresentation
bin1000011101110110010100
311011202110110
420131312110
51032010122
6115323020
724602406
oct10356624
94152413
102219412
111286528
128b0470
135c9280
1441ab76
152dc90c
hex21dd94

2219412 has 48 divisors (see below), whose sum is σ = 5729472. Its totient is φ = 664320.

The previous prime is 2219411. The next prime is 2219423. The reversal of 2219412 is 2149122.

2219412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6223 + ... + 6569.

It is an arithmetic number, because the mean of its divisors is an integer number (119364).

22219412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2219412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864736).

2219412 is an abundant number, since it is smaller than the sum of its proper divisors (3510060).

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

2219412 is a wasteful number, since it uses less digits than its factorization.

2219412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 2219412 is about 1489.7691096274. The cubic root of 2219412 is about 130.4405565946.

The spelling of 2219412 in words is "two million, two hundred nineteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 347 492 533 694 1041 1066 1388 1599 2082 2132 3198 4164 4511 6396 9022 13533 14227 18044 27066 28454 42681 54132 56908 85362 170724 184951 369902 554853 739804 1109706 2219412