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2164546468 = 227233361097
BaseRepresentation
bin1000000100000100…
…0101101110100100
312120211222100112201
42001001011232210
513413110441333
6554441424244
7104432225050
oct20101055644
95524870481
102164546468
11a10914887
12504a9b084
1328659a336
1416768cc60
15ca06717d
hex81045ba4

2164546468 has 24 divisors (see below), whose sum is σ = 4517315712. Its totient is φ = 887329344.

The previous prime is 2164546463. The next prime is 2164546487. The reversal of 2164546468 is 8646454612.

It is a super-2 number, since 2×21645464682 = 9370522824262550048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2164546463) 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 7 ways as a sum of consecutive naturals, for example, 1679905 + ... + 1681192.

It is an arithmetic number, because the mean of its divisors is an integer number (188221488).

Almost surely, 22164546468 is an apocalyptic number.

2164546468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2164546468 is an abundant number, since it is smaller than the sum of its proper divisors (2352769244).

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

2164546468 is a wasteful number, since it uses less digits than its factorization.

2164546468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361131 (or 3361129 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 2164546468 is about 46524.6866512822. The cubic root of 2164546468 is about 1293.5671292071.

The spelling of 2164546468 in words is "two billion, one hundred sixty-four million, five hundred forty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 3361097 6722194 13444388 23527679 47055358 77305231 94110716 154610462 309220924 541136617 1082273234 2164546468