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20220288 = 273114787
BaseRepresentation
bin100110100100…
…0100110000000
31102001022000120
41031020212000
520134022123
62001220240
7333604164
oct115104600
942038016
1020220288
1110460890
126931680
13425c78a
142984ca4
151b962e3
hex1348980

20220288 has 64 divisors (see below), whose sum is σ = 58605120. Its totient is φ = 6126080.

The previous prime is 20220283. The next prime is 20220307. The reversal of 20220288 is 88202202.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20220283) 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, 1831 + ... + 6617.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 220220288 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 20220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29302560).

20220288 is an abundant number, since it is smaller than the sum of its proper divisors (38384832).

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

20220288 is a wasteful number, since it uses less digits than its factorization.

20220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20220288 is about 4496.6974547995. The cubic root of 20220288 is about 272.4347143211.

The spelling of 20220288 in words is "twenty million, two hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 4787 9574 14361 19148 28722 38296 52657 57444 76592 105314 114888 153184 157971 210628 229776 306368 315942 421256 459552 612736 631884 842512 919104 1263768 1685024 1838208 2527536 3370048 5055072 6740096 10110144 20220288