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2141236216 = 237311233431
BaseRepresentation
bin111111110100000…
…1010101111111000
312112020010001220001
41333220022233320
513341124024331
6552250042344
7104030131120
oct17750125770
95466101801
102141236216
119a9743509
124b91193b4
132817c82a2
14164541c80
15c7eb0561
hex7fa0abf8

2141236216 has 32 divisors (see below), whose sum is σ = 4736378880. Its totient is φ = 888069600.

The previous prime is 2141236211. The next prime is 2141236249. The reversal of 2141236216 is 6126321412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141236211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 614980 + ... + 618451.

It is an arithmetic number, because the mean of its divisors is an integer number (148011840).

Almost surely, 22141236216 is an apocalyptic number.

It is an amenable number.

2141236216 is an abundant number, since it is smaller than the sum of its proper divisors (2595142664).

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

2141236216 is a wasteful number, since it uses less digits than its factorization.

2141236216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233475 (or 1233471 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 2141236216 is about 46273.4936653804. The cubic root of 2141236216 is about 1288.9068350498.

Adding to 2141236216 its reverse (6126321412), we get a palindrome (8267557628).

The spelling of 2141236216 in words is "two billion, one hundred forty-one million, two hundred thirty-six thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 1233431 2466862 4933724 8634017 9867448 17268034 34536068 38236361 69072136 76472722 152945444 267654527 305890888 535309054 1070618108 2141236216