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224494541640 = 23325623595949
BaseRepresentation
bin1101000100010011101…
…0101101101101001000
3210110110102002022210100
43101010322231231020
512134231100313030
6251044213045400
722135120055565
oct3210472555510
9713412068710
10224494541640
1187231352946
1237612926860
1318228c0bcb5
14ac1929186c
155c8daa1360
hex3444eadb48

224494541640 has 48 divisors (see below), whose sum is σ = 729607261500. Its totient is φ = 59865211008.

The previous prime is 224494541627. The next prime is 224494541651. The reversal of 224494541640 is 46145494422.

224494541640 is a `hidden beast` number, since 2 + 2 + 4 + 49 + 4 + 541 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 206564796036 + 17929745604 = 454494^2 + 133902^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311797615 + ... + 311798334.

Almost surely, 2224494541640 is an apocalyptic number.

224494541640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224494541640 is an abundant number, since it is smaller than the sum of its proper divisors (505112719860).

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

224494541640 is a wasteful number, since it uses less digits than its factorization.

224494541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623595966 (or 623595959 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 224494541640 in words is "two hundred twenty-four billion, four hundred ninety-four million, five hundred forty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 623595949 1247191898 1870787847 2494383796 3117979745 3741575694 4988767592 5612363541 6235959490 7483151388 9353939235 11224727082 12471918980 14966302776 18707878470 22449454164 24943837960 28061817705 37415756940 44898908328 56123635410 74831513880 112247270820 224494541640