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20226624 = 2631161157
BaseRepresentation
bin100110100101…
…0001001000000
31102001121201020
41031022021000
520134222444
62001305440
7333631515
oct115121100
942047636
1020226624
1110465620
126935280
134262622
14298730c
151b98119
hex134a240

20226624 has 112 divisors (see below), whose sum is σ = 59716416. Its totient is φ = 5990400.

The previous prime is 20226623. The next prime is 20226629. The reversal of 20226624 is 42662202.

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 = 20226594 and 20226603.

It is not an unprimeable number, because it can be changed into a prime (20226623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128754 + ... + 128910.

Almost surely, 220226624 is an apocalyptic number.

20226624 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 20226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29858208).

20226624 is an abundant number, since it is smaller than the sum of its proper divisors (39489792).

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

20226624 is a wasteful number, since it uses less digits than its factorization.

20226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20226624 is about 4497.4019166626. The cubic root of 20226624 is about 272.4631670330.

Adding to 20226624 its reverse (42662202), we get a palindrome (62888826).

It can be divided in two parts, 2022 and 6624, that added together give a triangular number (8646 = T131).

The spelling of 20226624 in words is "twenty million, two hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 61 64 66 88 96 122 132 157 176 183 192 244 264 314 352 366 471 488 528 628 671 704 732 942 976 1056 1256 1342 1464 1727 1884 1952 2013 2112 2512 2684 2928 3454 3768 3904 4026 5024 5181 5368 5856 6908 7536 8052 9577 10048 10362 10736 11712 13816 15072 16104 19154 20724 21472 27632 28731 30144 32208 38308 41448 42944 55264 57462 64416 76616 82896 105347 110528 114924 128832 153232 165792 210694 229848 306464 316041 331584 421388 459696 612928 632082 842776 919392 1264164 1685552 1838784 2528328 3371104 5056656 6742208 10113312 20226624