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216141612 = 223731371801
BaseRepresentation
bin11001110001000…
…00111100101100
3120001201010112220
430320200330230
5420313012422
633240355340
75233113321
oct1470407454
9501633486
10216141612
11101008435
1260475b50
1335a1945b
14209c4b48
1513e96e5c
hexce20f2c

216141612 has 48 divisors (see below), whose sum is σ = 515256672. Its totient is φ = 70502400.

The previous prime is 216141599. The next prime is 216141617.

It is a happy number.

216141612 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (216141617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119112 + ... + 120912.

It is an arithmetic number, because the mean of its divisors is an integer number (10734514).

Almost surely, 2216141612 is an apocalyptic number.

It is an amenable number.

216141612 is an abundant number, since it is smaller than the sum of its proper divisors (299115060).

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

216141612 is a wasteful number, since it uses less digits than its factorization.

216141612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2016 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 216141612 is about 14701.7554053929. The cubic root of 216141612 is about 600.1310935776.

The spelling of 216141612 in words is "two hundred sixteen million, one hundred forty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 73 137 146 219 274 292 411 438 548 822 876 1644 1801 3602 5403 7204 10001 10806 20002 21612 30003 40004 60006 120012 131473 246737 262946 394419 493474 525892 740211 788838 986948 1480422 1577676 2960844 18011801 36023602 54035403 72047204 108070806 216141612