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224320142024 = 231117821182639
BaseRepresentation
bin1101000011101010000…
…1011011101011001000
3210110000020220220111022
43100322201123223020
512133401424021044
6251015023052012
722130601514106
oct3207241335310
9713006826438
10224320142024
1187151965930
1237584441008
13181cba49264
14ac00054c76
155c7d6023ee
hex343a85bac8

224320142024 has 64 divisors (see below), whose sum is σ = 486421459200. Its totient is φ = 95848422400.

The previous prime is 224320142009. The next prime is 224320142047. The reversal of 224320142024 is 420241023422.

It is a super-2 number, since 2×2243201420242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224320141984 and 224320142002.

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, 1136897 + ... + 1319535.

It is an arithmetic number, because the mean of its divisors is an integer number (7600335300).

Almost surely, 2224320142024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224320142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243210729600).

224320142024 is an abundant number, since it is smaller than the sum of its proper divisors (262101317176).

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

224320142024 is a wasteful number, since it uses less digits than its factorization.

224320142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183494 (or 183490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 224320142024 its reverse (420241023422), we get a palindrome (644561165446).

The spelling of 224320142024 in words is "two hundred twenty-four billion, three hundred twenty million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 821 1496 1642 3284 6568 9031 13957 18062 27914 36124 55828 72248 111656 153527 182639 307054 365278 614108 730556 1228216 1461112 2009029 3104863 4018058 6209726 8036116 12419452 16072232 24838904 34153493 68306986 136613972 149946619 273227944 299893238 599786476 1199572952 1649412809 2549092523 3298825618 5098185046 6597651236 10196370092 13195302472 20392740184 28040017753 56080035506 112160071012 224320142024