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224053040764 = 227231210711117
BaseRepresentation
bin1101000010101010011…
…0100001011001111100
3210102022122022202110001
43100222212201121330
512132330034301024
6250532322124044
722121146265200
oct3205246413174
9712278282401
10224053040764
1187025111793
123750aab0624
13181885c9987
14abb67a6b00
155c64e41244
hex342a9a167c

224053040764 has 108 divisors (see below), whose sum is σ = 475743178008. Its totient is φ = 92048483520.

The previous prime is 224053040759. The next prime is 224053040779. The reversal of 224053040764 is 467040350422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20148534 + ... + 20159650.

It is an arithmetic number, because the mean of its divisors is an integer number (4405029426).

Almost surely, 2224053040764 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 224053040764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237871589004).

224053040764 is an abundant number, since it is smaller than the sum of its proper divisors (251690137244).

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

224053040764 is a wasteful number, since it uses less digits than its factorization.

224053040764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

The spelling of 224053040764 in words is "two hundred twenty-four billion, fifty-three million, forty thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 107 124 196 214 217 428 434 749 868 961 1498 1519 1922 2996 3038 3317 3844 5243 6076 6634 6727 10486 11117 13268 13454 20972 22234 23219 26908 44468 46438 47089 77819 92876 94178 102827 155638 162533 188356 205654 311276 325066 344627 411308 544733 650132 689254 719789 1089466 1189519 1378508 1439578 2178932 2379038 2412389 2879156 4758076 4824778 5038523 8326633 9649556 10077046 10683437 16653266 16886723 20154092 21366874 33306532 33773446 36875089 42733748 58286431 67546892 73750178 74784059 116572862 147500356 149568118 233145724 258125623 299136236 516251246 523488413 1032502492 1046976826 1143127759 1806879361 2093953652 2286255518 3613758722 4572511036 7227517444 8001894313 16003788626 32007577252 56013260191 112026520382 224053040764