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224332909968 = 2436180939467
BaseRepresentation
bin1101000011101101001…
…0001000110110010000
3210110001010221120211010
43100323102020312100
512133413211104333
6251020200450520
722131115162326
oct3207322106620
9713033846733
10224332909968
1187159096652
1237588779a40
131820159995b
14ac01a19d16
155c7e7c5563
hex343b488d90

224332909968 has 80 divisors (see below), whose sum is σ = 589162130496. Its totient is φ = 73534917120.

The previous prime is 224332909961. The next prime is 224332910003. The reversal of 224332909968 is 869909233422.

It is a super-2 number, since 2×2243329099682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224332909961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23691571 + ... + 23701037.

Almost surely, 2224332909968 is an apocalyptic number.

It is an amenable number.

224332909968 is an abundant number, since it is smaller than the sum of its proper divisors (364829220528).

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

224332909968 is a wasteful number, since it uses less digits than its factorization.

224332909968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17632 (or 17626 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 224332909968 in words is "two hundred twenty-four billion, three hundred thirty-two million, nine hundred nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 8093 9467 16186 18934 24279 28401 32372 37868 48558 56802 64744 75736 97116 113604 129488 151472 194232 227208 388464 454416 493673 577487 987346 1154974 1481019 1732461 1974692 2309948 2962038 3464922 3949384 4619896 5924076 6929844 7898768 9239792 11848152 13859688 23696304 27719376 76616431 153232862 229849293 306465724 459698586 612931448 919397172 1225862896 1838794344 3677588688 4673602291 9347204582 14020806873 18694409164 28041613746 37388818328 56083227492 74777636656 112166454984 224332909968