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80219412 = 223271347521
BaseRepresentation
bin1001100100000…
…00110100010100
312120221120100100
410302000310110
5131014010122
611543214100
71662565560
oct462006424
9176846310
1080219412
1141311039
1222a47330
1313809210
14a9226a0
157098aac
hex4c80d14

80219412 has 144 divisors (see below), whose sum is σ = 255370752. Its totient is φ = 20666880.

The previous prime is 80219401. The next prime is 80219429. The reversal of 80219412 is 21491208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153712 + ... + 154232.

It is an arithmetic number, because the mean of its divisors is an integer number (1773408).

Almost surely, 280219412 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 80219412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127685376).

80219412 is an abundant number, since it is smaller than the sum of its proper divisors (175151340).

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

80219412 is a wasteful number, since it uses less digits than its factorization.

80219412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 80219412 is about 8956.5290151933. The cubic root of 80219412 is about 431.2805024424.

The spelling of 80219412 in words is "eighty million, two hundred nineteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 47 52 63 78 84 91 94 117 126 141 156 182 188 234 252 273 282 329 364 423 468 521 546 564 611 658 819 846 987 1042 1092 1222 1316 1563 1638 1692 1833 1974 2084 2444 2961 3126 3276 3647 3666 3948 4277 4689 5499 5922 6252 6773 7294 7332 8554 9378 10941 10998 11844 12831 13546 14588 17108 18756 20319 21882 21996 24487 25662 27092 32823 38493 40638 43764 47411 48974 51324 60957 65646 73461 76986 81276 94822 97948 121914 131292 142233 146922 153972 171409 189644 220383 243828 284466 293844 318331 342818 426699 440766 514227 568932 636662 685636 853398 881532 954993 1028454 1273324 1542681 1706796 1909986 2056908 2228317 2864979 3085362 3819972 4456634 5729958 6170724 6684951 8913268 11459916 13369902 20054853 26739804 40109706 80219412