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1166224224 = 253111104379
BaseRepresentation
bin100010110000011…
…0010101101100000
310000021110022212210
41011200302231200
54342023133344
6311420122120
740620512424
oct10540625540
93007408783
101166224224
11549337580
12286696340
131577c9a09
14b0c5ab84
156c5b7db9
hex45832b60

1166224224 has 48 divisors (see below), whose sum is σ = 3339645120. Its totient is φ = 353400960.

The previous prime is 1166224217. The next prime is 1166224231. The reversal of 1166224224 is 4224226611.

It is an interprime number because it is at equal distance from previous prime (1166224217) and next prime (1166224231).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 1166224191 and 1166224200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551134 + ... + 553245.

It is an arithmetic number, because the mean of its divisors is an integer number (69575940).

Almost surely, 21166224224 is an apocalyptic number.

It is an amenable number.

1166224224 is an abundant number, since it is smaller than the sum of its proper divisors (2173420896).

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

1166224224 is a wasteful number, since it uses less digits than its factorization.

1166224224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104403 (or 1104395 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 1166224224 is about 34150.0252415719. The cubic root of 1166224224 is about 1052.5935053078.

The spelling of 1166224224 in words is "one billion, one hundred sixty-six million, two hundred twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1104379 2208758 3313137 4417516 6626274 8835032 12148169 13252548 17670064 24296338 26505096 35340128 36444507 48592676 53010192 72889014 97185352 106020384 145778028 194370704 291556056 388741408 583112112 1166224224