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12234420 = 22 ⋅ 32 ⋅ 5 ⋅ 11 ⋅ 37 ⋅ 167
BaseRepresentation
bin101110101010…
……111010110100
3212000120110200
4232222322310
511113000140
61114120500
7205663602
oct56527264
925016420
1012234420
1169a69a0
124120130
1326c4903
1418a6872
15111a030
hexbaaeb4

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(max 15 digits)

12234420 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 2868480.

The previous prime is 12234379. The next prime is 12234421. The reversal of 12234420 is 2443221.

12234420 is a `hidden beast` number, since 1 + 223 + 442 + 0 = 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 = 12234393 and 12234402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12234421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73177 + ... + 73343.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 212234420 is an apocalyptic number.

12234420 is a gapful number since it is divisible by the number (10) 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 12234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

12234420 is an abundant number, since it is smaller than the sum of its proper divisors (29593548).

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

12234420 is a wasteful number, since it uses less digits than its factorization.

12234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12234420 is about 3497.7735775776. The cubic root of 12234420 is about 230.4240444380.

Adding to 12234420 its reverse (2443221), we get a palindrome (14677641).

It can be divided in two parts, 12 and 234420, that added together give a palindrome (234432).

The spelling of 12234420 in words is "twelve million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 167 180 185 198 220 222 330 333 334 370 396 407 444 495 501 555 660 666 668 740 814 835 990 1002 1110 1221 1332 1503 1628 1665 1670 1837 1980 2004 2035 2220 2442 2505 3006 3330 3340 3663 3674 4070 4884 5010 5511 6012 6105 6179 6660 7326 7348 7515 8140 9185 10020 11022 12210 12358 14652 15030 16533 18315 18370 18537 22044 24420 24716 27555 30060 30895 33066 36630 36740 37074 55110 55611 61790 66132 67969 73260 74148 82665 92685 110220 111222 123580 135938 165330 185370 203907 222444 271876 278055 330660 339845 370740 407814 556110 611721 679690 815628 1019535 1112220 1223442 1359380 2039070 2446884 3058605 4078140 6117210 12234420