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80224128 = 2733139167
BaseRepresentation
bin1001100100000…
…01111110000000
312120221210211000
410302001332000
5131014133003
611543252000
71662615405
oct462017600
9176853730
1080224128
1141314636
1222a4a000
131380b3ca
14a9242ac
15709a1a3
hex4c81f80

80224128 has 128 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 26390016.

The previous prime is 80224097. The next prime is 80224163. The reversal of 80224128 is 82142208.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480301 + ... + 480467.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 280224128 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 80224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

80224128 is an abundant number, since it is smaller than the sum of its proper divisors (159679872).

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

80224128 is a wasteful number, since it uses less digits than its factorization.

80224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80224128 is about 8956.7922829549. The cubic root of 80224128 is about 431.2889537592.

The spelling of 80224128 in words is "eighty million, two hundred twenty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 139 144 167 192 216 278 288 334 384 417 432 501 556 576 668 834 864 1002 1112 1152 1251 1336 1503 1668 1728 2004 2224 2502 2672 3006 3336 3456 3753 4008 4448 4509 5004 5344 6012 6672 7506 8016 8896 9018 10008 10688 12024 13344 15012 16032 17792 18036 20016 21376 23213 24048 26688 30024 32064 36072 40032 46426 48096 53376 60048 64128 69639 72144 80064 92852 96192 120096 139278 144288 160128 185704 192384 208917 240192 278556 288576 371408 417834 480384 557112 577152 626751 742816 835668 1114224 1253502 1485632 1671336 2228448 2507004 2971264 3342672 4456896 5014008 6685344 8913792 10028016 13370688 20056032 26741376 40112064 80224128