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224233001040 = 24352865732603
BaseRepresentation
bin1101000011010101010…
…1000001000001010000
3210102210011221200112110
43100311111001001100
512133212122013130
6251002231225320
722125463026546
oct3206525010120
9712704850473
10224233001040
1187107757594
123755b218240
13181b6988749
14abd264dd96
155c75b3cab0
hex3435541050

224233001040 has 80 divisors (see below), whose sum is σ = 695167881408. Its totient is φ = 59791546368.

The previous prime is 224233001039. The next prime is 224233001071. The reversal of 224233001040 is 40100332422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 224233000998 and 224233001016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6861379 + ... + 6893981.

Almost surely, 2224233001040 is an apocalyptic number.

224233001040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224233001040 is an abundant number, since it is smaller than the sum of its proper divisors (470934880368).

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

224233001040 is a wasteful number, since it uses less digits than its factorization.

224233001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61276 (or 61270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 224233001040 its reverse (40100332422), we get a palindrome (264333333462).

The spelling of 224233001040 in words is "two hundred twenty-four billion, two hundred thirty-three million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 28657 32603 57314 65206 85971 97809 114628 130412 143285 163015 171942 195618 229256 260824 286570 326030 343884 391236 429855 458512 489045 521648 573140 652060 687768 782472 859710 978090 1146280 1304120 1375536 1564944 1719420 1956180 2292560 2608240 3438840 3912360 6877680 7824720 934304171 1868608342 2802912513 3737216684 4671520855 5605825026 7474433368 9343041710 11211650052 14014562565 14948866736 18686083420 22423300104 28029125130 37372166840 44846600208 56058250260 74744333680 112116500520 224233001040