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20220432 = 24331107127
BaseRepresentation
bin100110100100…
…0101000010000
31102001022012220
41031020220100
520134023212
62001221040
7333604461
oct115105020
942038186
1020220432
1110460a01
126931780
13425c86b
142984d68
151b9638c
hex1348a10

20220432 has 80 divisors (see below), whose sum is σ = 54853632. Its totient is φ = 6410880.

The previous prime is 20220407. The next prime is 20220451. The reversal of 20220432 is 23402202.

It is a super-3 number, since 3×202204323 (a number of 23 digits) contains 333 as substring.

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, 159153 + ... + 159279.

Almost surely, 220220432 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 20220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426816).

20220432 is an abundant number, since it is smaller than the sum of its proper divisors (34633200).

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

20220432 is a wasteful number, since it uses less digits than its factorization.

20220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 20220432 is about 4496.7134665220. The cubic root of 20220432 is about 272.4353610396.

Adding to 20220432 its reverse (23402202), we get a palindrome (43622634).

The spelling of 20220432 in words is "twenty million, two hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 107 124 127 186 214 248 254 321 372 381 428 496 508 642 744 762 856 1016 1284 1488 1524 1712 2032 2568 3048 3317 3937 5136 6096 6634 7874 9951 11811 13268 13589 15748 19902 23622 26536 27178 31496 39804 40767 47244 53072 54356 62992 79608 81534 94488 108712 159216 163068 188976 217424 326136 421259 652272 842518 1263777 1685036 2527554 3370072 5055108 6740144 10110216 20220432