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80224080 = 24351973241
BaseRepresentation
bin1001100100000…
…01111101010000
312120221210202020
410302001331100
5131014132310
611543251440
71662615306
oct462017520
9176853666
1080224080
11413145a2
1222a49b80
131380b391
14a924276
15709a170
hex4c81f50

80224080 has 160 divisors (see below), whose sum is σ = 266471040. Its totient is φ = 19906560.

The previous prime is 80224019. The next prime is 80224093. The reversal of 80224080 is 8042208.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 80224080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332760 + ... + 333000.

It is an arithmetic number, because the mean of its divisors is an integer number (1665444).

Almost surely, 280224080 is an apocalyptic number.

80224080 is a gapful number since it is divisible by the number (80) 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 80224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133235520).

80224080 is an abundant number, since it is smaller than the sum of its proper divisors (186246960).

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

80224080 is a wasteful number, since it uses less digits than its factorization.

80224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 80224080 is about 8956.7896034238. The cubic root of 80224080 is about 431.2888677424.

Adding to 80224080 its reverse (8042208), we get a palindrome (88266288).

The spelling of 80224080 in words is "eighty million, two hundred twenty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 73 76 80 95 114 120 146 152 190 219 228 240 241 285 292 304 365 380 438 456 482 570 584 723 730 760 876 912 964 1095 1140 1168 1205 1387 1446 1460 1520 1752 1928 2190 2280 2410 2774 2892 2920 3504 3615 3856 4161 4380 4560 4579 4820 5548 5784 5840 6935 7230 8322 8760 9158 9640 11096 11568 13737 13870 14460 16644 17520 17593 18316 19280 20805 22192 22895 27474 27740 28920 33288 35186 36632 41610 45790 52779 54948 55480 57840 66576 68685 70372 73264 83220 87965 91580 105558 109896 110960 137370 140744 166440 175930 183160 211116 219792 263895 274740 281488 332880 334267 351860 366320 422232 527790 549480 668534 703720 844464 1002801 1055580 1098960 1337068 1407440 1671335 2005602 2111160 2674136 3342670 4011204 4222320 5014005 5348272 6685340 8022408 10028010 13370680 16044816 20056020 26741360 40112040 80224080