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80219664 = 24327211369
BaseRepresentation
bin1001100100000…
…00111000010000
312120221120200200
410302000320100
5131014012124
611543215200
71662566400
oct462007020
9176846620
1080219664
1141311248
1222a47500
1313809375
14a922800
157098bc9
hex4c80e10

80219664 has 90 divisors (see below), whose sum is σ = 261180270. Its totient is φ = 22917888.

The previous prime is 80219609. The next prime is 80219693. The reversal of 80219664 is 46691208.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 9659664 = 8400^2 + 3108^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1372 + ... + 12740.

It is an arithmetic number, because the mean of its divisors is an integer number (2902003).

Almost surely, 280219664 is an apocalyptic number.

80219664 is a gapful number since it is divisible by the number (84) 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 80219664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130590135).

80219664 is an abundant number, since it is smaller than the sum of its proper divisors (180960606).

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

80219664 is a wasteful number, since it uses less digits than its factorization.

80219664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11397 (or 11381 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80219664 is about 8956.5430831320. The cubic root of 80219664 is about 431.2809540478.

The spelling of 80219664 in words is "eighty million, two hundred nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 11369 22738 34107 45476 68214 79583 90952 102321 136428 159166 181904 204642 238749 272856 318332 409284 477498 545712 557081 636664 716247 818568 954996 1114162 1273328 1432494 1637136 1671243 1909992 2228324 2864988 3342486 3819984 4456648 5013729 5729976 6684972 8913296 10027458 11459952 13369944 20054916 26739888 40109832 80219664