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4214196 = 2232722389
BaseRepresentation
bin10000000100110110110100
321221002210100
4100010312310
52034323241
6230154100
750551200
oct20046664
97832710
104214196
112419208
1214b2930
13b4720c
147b9b00
155839b6
hex404db4

4214196 has 54 divisors (see below), whose sum is σ = 12396930. Its totient is φ = 1203552.

The previous prime is 4214191. The next prime is 4214201. The reversal of 4214196 is 6914124.

It is an interprime number because it is at equal distance from previous prime (4214191) and next prime (4214201).

It can be written as a sum of positive squares in only one way, i.e., 3111696 + 1102500 = 1764^2 + 1050^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214191) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 570 + ... + 2958.

Almost surely, 24214196 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 4214196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198465).

4214196 is an abundant number, since it is smaller than the sum of its proper divisors (8182734).

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

4214196 is a wasteful number, since it uses less digits than its factorization.

4214196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2401 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 4214196 is about 2052.8507008548. The cubic root of 4214196 is about 161.5244398086.

The spelling of 4214196 in words is "four million, two hundred fourteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2389 4778 7167 9556 14334 16723 21501 28668 33446 43002 50169 66892 86004 100338 117061 150507 200676 234122 301014 351183 468244 602028 702366 1053549 1404732 2107098 4214196