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224080846240 = 25510113866389
BaseRepresentation
bin1101000010110001000…
…0100101110110100000
3210102101120122102101111
43100230100211312200
512132404144034430
6250535154113104
722121634523546
oct3205420456640
9712346572344
10224080846240
1187039883419
123751827b794
13181912b3b14
14abba363d96
155c675d4c2a
hex342c425da0

224080846240 has 48 divisors (see below), whose sum is σ = 534632532840. Its totient is φ = 88744883200.

The previous prime is 224080846217. The next prime is 224080846313. The reversal of 224080846240 is 42648080422.

It can be written as a sum of positive squares in 4 ways, for example, as 223233570576 + 847275664 = 472476^2 + 29108^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 224080846193 and 224080846202.

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, 6917035 + ... + 6949354.

Almost surely, 2224080846240 is an apocalyptic number.

224080846240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224080846240 is an abundant number, since it is smaller than the sum of its proper divisors (310551686600).

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

224080846240 is a wasteful number, since it uses less digits than its factorization.

224080846240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866505 (or 13866497 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The spelling of 224080846240 in words is "two hundred twenty-four billion, eighty million, eight hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3232 4040 8080 16160 13866389 27732778 55465556 69331945 110931112 138663890 221862224 277327780 443724448 554655560 1109311120 1400505289 2218622240 2801010578 5602021156 7002526445 11204042312 14005052890 22408084624 28010105780 44816169248 56020211560 112040423120 224080846240