Search a number
-
+
224323440984 = 23332354944101
BaseRepresentation
bin1101000011101010111…
…0000001000101011000
3210110000111010111211000
43100322232001011120
512133403300102414
6251015221505000
722130641534056
oct3207256010530
9713014114730
10224323440984
1187153809445
1237585572160
13181cc6329c6
14ac006731d6
155c7da54b09
hex343ab81158

224323440984 has 64 divisors (see below), whose sum is σ = 623161260000. Its totient is φ = 74769609600.

The previous prime is 224323440983. The next prime is 224323441031. The reversal of 224323440984 is 489044323422.

It is a happy number.

224323440984 is a `hidden beast` number, since 2 + 2 + 4 + 3 + 234 + 409 + 8 + 4 = 666.

224323440984 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224323440983) 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, 5064534 + ... + 5108634.

Almost surely, 2224323440984 is an apocalyptic number.

224323440984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

224323440984 is an abundant number, since it is smaller than the sum of its proper divisors (398837819016).

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

224323440984 is a wasteful number, since it uses less digits than its factorization.

224323440984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67665 (or 67655 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 224323440984 in words is "two hundred twenty-four billion, three hundred twenty-three million, four hundred forty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 23549 44101 47098 70647 88202 94196 132303 141294 176404 188392 211941 264606 282588 352808 396909 423882 529212 565176 635823 793818 847764 1058424 1190727 1271646 1587636 1695528 2381454 2543292 3175272 4762908 5086584 9525816 1038534449 2077068898 3115603347 4154137796 6231206694 8308275592 9346810041 12462413388 18693620082 24924826776 28040430123 37387240164 56080860246 74774480328 112161720492 224323440984