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224619429980 = 225118961718593
BaseRepresentation
bin1101000100110001011…
…1001000000001011100
3210110210010002022101102
43101030113020001130
512140010033224410
6251104433532232
722141164436541
oct3211427100134
9713703068342
10224619429980
11872958a3350
1237648714078
1318248a57c1a
14ac2bac0bc8
155c99a202a5
hex344c5c805c

224619429980 has 96 divisors (see below), whose sum is σ = 521235933120. Its totient is φ = 80626810880.

The previous prime is 224619429943. The next prime is 224619430027. The reversal of 224619429980 is 89924916422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12071564 + ... + 12090156.

It is an arithmetic number, because the mean of its divisors is an integer number (5429540970).

Almost surely, 2224619429980 is an apocalyptic number.

224619429980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224619429980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260617966560).

224619429980 is an abundant number, since it is smaller than the sum of its proper divisors (296616503140).

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

224619429980 is a wasteful number, since it uses less digits than its factorization.

224619429980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19319 (or 19317 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 56.

The spelling of 224619429980 in words is "two hundred twenty-four billion, six hundred nineteen million, four hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 617 890 979 1234 1780 1958 2468 3085 3916 4895 6170 6787 9790 12340 13574 18593 19580 27148 33935 37186 54913 67870 74372 92965 109826 135740 185930 204523 219652 274565 371860 409046 549130 604043 818092 1022615 1098260 1208086 1654777 2045230 2416172 3020215 3309554 4090460 6040430 6619108 8273885 11471881 12080860 16547770 18202547 22943762 33095540 36405094 45887524 57359405 72810188 91012735 114718810 126190691 182025470 229437620 252381382 364050940 504762764 630953455 1020997409 1261906910 2041994818 2523813820 4083989636 5104987045 10209974090 11230971499 20419948180 22461942998 44923885996 56154857495 112309714990 224619429980