Search a number
-
+
224251723808 = 2572119592
BaseRepresentation
bin1101000011011001110…
…0011100000000100000
3210102211111011220100022
43100312130130000200
512133231420130213
6251004140413012
722126111126100
oct3206634340040
9712744156308
10224251723808
1187117285252
1237565547168
13181ba8126c8
14abd4d25200
155c775da308
hex343671c020

224251723808 has 54 divisors (see below), whose sum is σ = 513619440831. Its totient is φ = 96099845184.

The previous prime is 224251723727. The next prime is 224251723849. The reversal of 224251723808 is 808327152422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 112125861904 + 112125861904 = 334852^2 + 334852^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334852.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18745733 + ... + 18757691.

Almost surely, 2224251723808 is an apocalyptic number.

224251723808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

224251723808 is an abundant number, since it is smaller than the sum of its proper divisors (289367717023).

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

224251723808 is an frugal number, since it uses more digits than its factorization.

224251723808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 11968 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 224251723808 in words is "two hundred twenty-four billion, two hundred fifty-one million, seven hundred twenty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 11959 23918 47836 83713 95672 167426 191344 334852 382688 585991 669704 1171982 1339408 2343964 2678816 4687928 9375856 18751712 143017681 286035362 572070724 1001123767 1144141448 2002247534 2288282896 4004495068 4576565792 7007866369 8008990136 14015732738 16017980272 28031465476 32035960544 56062930952 112125861904 224251723808