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20224832 = 261729641
BaseRepresentation
bin100110100100…
…1101101000000
31102001112020212
41031021231000
520134143312
62001253252
7333623345
oct115115500
942045225
1020224832
1110464241
126934228
134261874
1429867cc
151b97822
hex1349b40

20224832 has 56 divisors (see below), whose sum is σ = 44028360. Its totient is φ = 9175040.

The previous prime is 20224823. The next prime is 20224837. The reversal of 20224832 is 23842202.

It can be written as a sum of positive squares in 4 ways, for example, as 10137856 + 10086976 = 3184^2 + 3176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20224798 and 20224807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20224837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31232 + ... + 31872.

Almost surely, 220224832 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 20224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014180).

20224832 is an abundant number, since it is smaller than the sum of its proper divisors (23803528).

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

20224832 is a wasteful number, since it uses less digits than its factorization.

20224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 20224832 is about 4497.2026861150. The cubic root of 20224832 is about 272.4551204040.

It can be divided in two parts, 202248 and 32, that multiplied together give a square (6471936 = 25442).

The spelling of 20224832 in words is "twenty million, two hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 641 928 986 1088 1282 1856 1972 2564 3944 5128 7888 10256 10897 15776 18589 20512 21794 31552 37178 41024 43588 74356 87176 148712 174352 297424 316013 348704 594848 632026 697408 1189696 1264052 2528104 5056208 10112416 20224832