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216134040 = 23351801117
BaseRepresentation
bin11001110000111…
…11000110011000
3120001200202011110
430320133012120
5420312242130
633240300320
75233052253
oct1470370630
9501622143
10216134040
11101002781
12604716a0
1335a15b85
14209c209a
1513e94ab0
hexce1f198

216134040 has 32 divisors (see below), whose sum is σ = 648402480. Its totient is φ = 57635712.

The previous prime is 216134033. The next prime is 216134047. The reversal of 216134040 is 40431612.

216134040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216134033) and next prime (216134047).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 216133998 and 216134016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216134047) 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, 900439 + ... + 900678.

Almost surely, 2216134040 is an apocalyptic number.

216134040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216134040 is an abundant number, since it is smaller than the sum of its proper divisors (432268440).

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

216134040 is a wasteful number, since it uses less digits than its factorization.

216134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1801131 (or 1801127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 216134040 is about 14701.4978828689. The cubic root of 216134040 is about 600.1240854473.

Adding to 216134040 its reverse (40431612), we get a palindrome (256565652).

The spelling of 216134040 in words is "two hundred sixteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1801117 3602234 5403351 7204468 9005585 10806702 14408936 18011170 21613404 27016755 36022340 43226808 54033510 72044680 108067020 216134040