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20216152 = 231119107113
BaseRepresentation
bin100110100011…
…1100101011000
31102001002100101
41031013211120
520133404102
62001145144
7333556135
oct115074530
942032311
1020216152
1110458770
12692b1b4
13425a928
14298358c
151b94e87
hex1347958

20216152 has 64 divisors (see below), whose sum is σ = 44323200. Its totient is φ = 8547840.

The previous prime is 20216137. The next prime is 20216167. The reversal of 20216152 is 25161202.

It is an interprime number because it is at equal distance from previous prime (20216137) and next prime (20216167).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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, 178848 + ... + 178960.

It is an arithmetic number, because the mean of its divisors is an integer number (692550).

Almost surely, 220216152 is an apocalyptic number.

20216152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20216152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161600).

20216152 is an abundant number, since it is smaller than the sum of its proper divisors (24107048).

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

20216152 is a wasteful number, since it uses less digits than its factorization.

20216152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 20216152 is about 4496.2375382090. The cubic root of 20216152 is about 272.4161378166.

Adding to 20216152 its reverse (25161202), we get a palindrome (45377354).

The spelling of 20216152 in words is "twenty million, two hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 107 113 152 209 214 226 418 428 452 836 856 904 1177 1243 1672 2033 2147 2354 2486 4066 4294 4708 4972 8132 8588 9416 9944 12091 16264 17176 22363 23617 24182 44726 47234 48364 89452 94468 96728 133001 178904 188936 229729 266002 459458 532004 918916 1064008 1837832 2527019 5054038 10108076 20216152