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2114211144 = 233661133271
BaseRepresentation
bin111111000000100…
…0100110101001000
312110100021001110110
41332001010311020
513312214224034
6545442514320
7103251332613
oct17601046510
95410231413
102114211144
11995465141
124b00659a0
13279025416
14160b0917a
15c5922de9
hex7e044d48

2114211144 has 32 divisors (see below), whose sum is σ = 5293563840. Its totient is φ = 703665600.

The previous prime is 2114211131. The next prime is 2114211161. The reversal of 2114211144 is 4411124112.

It is a super-2 number, since 2×21142111442 = 8939777522827577472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114211144.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50772 + ... + 82499.

It is an arithmetic number, because the mean of its divisors is an integer number (165423870).

Almost surely, 22114211144 is an apocalyptic number.

2114211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2114211144 is an abundant number, since it is smaller than the sum of its proper divisors (3179352696).

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

2114211144 is a wasteful number, since it uses less digits than its factorization.

2114211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133941 (or 133937 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 2114211144 is about 45980.5518018216. The cubic root of 2114211144 is about 1283.4613233267.

Adding to 2114211144 its reverse (4411124112), we get a palindrome (6525335256).

The spelling of 2114211144 in words is "two billion, one hundred fourteen million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 661 1322 1983 2644 3966 5288 7932 15864 133271 266542 399813 533084 799626 1066168 1599252 3198504 88092131 176184262 264276393 352368524 528552786 704737048 1057105572 2114211144