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20374224 = 24313103317
BaseRepresentation
bin100110110111…
…0001011010000
31102100010011220
41031232023100
520203433344
62004405040
7335115033
oct115561320
942303156
1020374224
1110556502
1269a6780
1342b4870
1429c501a
151bc6c19
hex136e2d0

20374224 has 80 divisors (see below), whose sum is σ = 57412992. Its totient is φ = 6188544.

The previous prime is 20374201. The next prime is 20374241. The reversal of 20374224 is 42247302.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20374194 and 20374203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64114 + ... + 64430.

Almost surely, 220374224 is an apocalyptic number.

20374224 is a gapful number since it is divisible by the number (24) 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 20374224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28706496).

20374224 is an abundant number, since it is smaller than the sum of its proper divisors (37038768).

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

20374224 is a wasteful number, since it uses less digits than its factorization.

20374224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 20374224 is about 4513.7815631685. The cubic root of 20374224 is about 273.1243110819.

The spelling of 20374224 in words is "twenty million, three hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 317 412 618 624 634 824 951 1236 1268 1339 1648 1902 2472 2536 2678 3804 4017 4121 4944 5072 5356 7608 8034 8242 10712 12363 15216 16068 16484 21424 24726 32136 32651 32968 49452 64272 65302 65936 97953 98904 130604 195906 197808 261208 391812 424463 522416 783624 848926 1273389 1567248 1697852 2546778 3395704 5093556 6791408 10187112 20374224