Search a number
-
+
224578020 = 223510734981
BaseRepresentation
bin11010110001011…
…00100111100100
3120122120202010110
431120230213210
5424442444040
634141253020
75364611262
oct1530544744
9518522113
10224578020
1110584a877
1263264170
13376b1404
1421b7d432
1514ab1980
hexd62c9e4

224578020 has 48 divisors (see below), whose sum is σ = 634713408. Its totient is φ = 59326080.

The previous prime is 224578009. The next prime is 224578031. The reversal of 224578020 is 20875422.

224578020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224578009) and next prime (224578031).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11071 + ... + 23910.

It is an arithmetic number, because the mean of its divisors is an integer number (13223196).

Almost surely, 2224578020 is an apocalyptic number.

224578020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224578020 is an abundant number, since it is smaller than the sum of its proper divisors (410135388).

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

224578020 is a wasteful number, since it uses less digits than its factorization.

224578020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35100 (or 35098 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 224578020 is about 14985.9273987298. The cubic root of 224578020 is about 607.8397293683.

The spelling of 224578020 in words is "two hundred twenty-four million, five hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 34981 69962 104943 139924 174905 209886 349810 419772 524715 699620 1049430 2098860 3742967 7485934 11228901 14971868 18714835 22457802 37429670 44915604 56144505 74859340 112289010 224578020