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216115641 = 3371143469
BaseRepresentation
bin11001110000110…
…10100110111001
3120001122210221000
430320122212321
5420311200031
633240035213
75232644520
oct1470324671
9501583830
10216115641
11100a9a975
1260462b09
1335a0a6a1
14209b94b7
1513e8e3e6
hexce1a9b9

216115641 has 16 divisors (see below), whose sum is σ = 365910400. Its totient is φ = 123494544.

The previous prime is 216115621. The next prime is 216115651. The reversal of 216115641 is 146511612.

216115641 is a `hidden beast` number, since 2 + 1 + 6 + 1 + 15 + 641 = 666.

It is not a de Polignac number, because 216115641 - 27 = 216115513 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216115621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571546 + ... + 571923.

It is an arithmetic number, because the mean of its divisors is an integer number (22869400).

Almost surely, 2216115641 is an apocalyptic number.

216115641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216115641 is a deficient number, since it is larger than the sum of its proper divisors (149794759).

216115641 is a wasteful number, since it uses less digits than its factorization.

216115641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143485 (or 1143479 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 216115641 is about 14700.8721169868. The cubic root of 216115641 is about 600.1070558973.

The spelling of 216115641 in words is "two hundred sixteen million, one hundred fifteen thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 63 189 1143469 3430407 8004283 10291221 24012849 30873663 72038547 216115641