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2168993112 = 2331113631991
BaseRepresentation
bin1000000101001000…
…0011010101011000
312121011100021012020
42001102003111120
513420230234422
6555121014440
7104515065036
oct20122032530
95534307166
102168993112
11a133816a0
12506484420
132874962a0
141680c9556
15ca64495c
hex81483558

2168993112 has 64 divisors (see below), whose sum is σ = 6370479360. Its totient is φ = 606710400.

The previous prime is 2168993063. The next prime is 2168993117. The reversal of 2168993112 is 2113998612.

It is a super-2 number, since 2×21689931122 = 9409062239806889088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168993117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312564 + ... + 319427.

It is an arithmetic number, because the mean of its divisors is an integer number (99538740).

Almost surely, 22168993112 is an apocalyptic number.

2168993112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2168993112 is an abundant number, since it is smaller than the sum of its proper divisors (4201486248).

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

2168993112 is a wasteful number, since it uses less digits than its factorization.

2168993112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632024 (or 632020 counting only the distinct ones).

The product of its digits is 46656, while the sum is 42.

The square root of 2168993112 is about 46572.4501395407. The cubic root of 2168993112 is about 1294.4523182099.

The spelling of 2168993112 in words is "two billion, one hundred sixty-eight million, nine hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 631991 1263982 1895973 2527964 3791946 5055928 6951901 7583892 8215883 13903802 15167784 16431766 20855703 24647649 27807604 32863532 41711406 49295298 55615208 65727064 83422812 90374713 98590596 166845624 180749426 197181192 271124139 361498852 542248278 722997704 1084496556 2168993112