Search a number
-
+
228670464 = 21031167101
BaseRepresentation
bin11011010000100…
…11110000000000
3120221021122220110
431220103300000
5432014423324
634405111320
75444444511
oct1550236000
9527248813
10228670464
11108095560
12646b8540
13384b5089
1422526a08
151511e329
hexda13c00

228670464 has 176 divisors, whose sum is σ = 681503616. Its totient is φ = 67584000.

The previous prime is 228670457. The next prime is 228670483. The reversal of 228670464 is 464076822.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×2286704642 = 104580362211950592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2264014 + ... + 2264114.

Almost surely, 2228670464 is an apocalyptic number.

228670464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340751808).

228670464 is an abundant number, since it is smaller than the sum of its proper divisors (452833152).

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

228670464 is a wasteful number, since it uses less digits than its factorization.

228670464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 228670464 is about 15121.8538546039. The cubic root of 228670464 is about 611.5097102724.

The spelling of 228670464 in words is "two hundred twenty-eight million, six hundred seventy thousand, four hundred sixty-four".