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20229528 = 233111937109
BaseRepresentation
bin100110100101…
…0110110011000
31102001202200210
41031022312120
520134321103
62001331120
7333643134
oct115126630
942052623
1020229528
1110467820
126936aa0
134263a47
1429883c4
151b98e03
hex134ad98

20229528 has 128 divisors (see below), whose sum is σ = 60192000. Its totient is φ = 5598720.

The previous prime is 20229499. The next prime is 20229529. The reversal of 20229528 is 82592202.

It is a junction number, because it is equal to n+sod(n) for n = 20229495 and 20229504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20229529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185538 + ... + 185646.

It is an arithmetic number, because the mean of its divisors is an integer number (470250).

Almost surely, 220229528 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 20229528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30096000).

20229528 is an abundant number, since it is smaller than the sum of its proper divisors (39962472).

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

20229528 is a wasteful number, since it uses less digits than its factorization.

20229528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 20229528 is about 4497.7247581416. The cubic root of 20229528 is about 272.4762058735.

The spelling of 20229528 in words is "twenty million, two hundred twenty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 37 38 44 57 66 74 76 88 109 111 114 132 148 152 209 218 222 228 264 296 327 407 418 436 444 456 627 654 703 814 836 872 888 1199 1221 1254 1308 1406 1628 1672 2071 2109 2398 2442 2508 2616 2812 3256 3597 4033 4142 4218 4796 4884 5016 5624 6213 7194 7733 8066 8284 8436 9592 9768 12099 12426 14388 15466 16132 16568 16872 22781 23199 24198 24852 28776 30932 32264 44363 45562 46398 48396 49704 61864 68343 76627 88726 91124 92796 96792 133089 136686 153254 177452 182248 185592 229881 266178 273372 306508 354904 459762 532356 546744 613016 842897 919524 1064712 1685794 1839048 2528691 3371588 5057382 6743176 10114764 20229528