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20216088 = 2333173541
BaseRepresentation
bin100110100011…
…1100100011000
31102001002021000
41031013210120
520133403323
62001145000
7333556014
oct115074430
942032230
1020216088
1110458712
12692b160
13425a8a9
142983544
151b94e43
hex1347918

20216088 has 64 divisors (see below), whose sum is σ = 56584800. Its totient is φ = 6687360.

The previous prime is 20216087. The next prime is 20216089. The reversal of 20216088 is 88061202.

It is an interprime number because it is at equal distance from previous prime (20216087) and next prime (20216089).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20216087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37098 + ... + 37638.

Almost surely, 220216088 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 20216088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28292400).

20216088 is an abundant number, since it is smaller than the sum of its proper divisors (36368712).

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

20216088 is a wasteful number, since it uses less digits than its factorization.

20216088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 20216088 is about 4496.2304211417. The cubic root of 20216088 is about 272.4158503459.

It can be divided in two parts, 202 and 16088, that added together give a triangular number (16290 = T180).

The spelling of 20216088 in words is "twenty million, two hundred sixteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 541 692 1038 1082 1384 1557 1623 2076 2164 3114 3246 4152 4328 4671 4869 6228 6492 9342 9738 12456 12984 14607 18684 19476 29214 37368 38952 58428 93593 116856 187186 280779 374372 561558 748744 842337 1123116 1684674 2246232 2527011 3369348 5054022 6738696 10108044 20216088