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78223104 = 283311317
BaseRepresentation
bin1001010100110…
…01011100000000
312110012010221000
410222121130000
5130011114404
611432332000
71636612461
oct452313400
9173163830
1078223104
11401781a3
1222244000
131328a67b
14a562d68
156d02339
hex4a99700

78223104 has 72 divisors (see below), whose sum is σ = 231339920. Its totient is φ = 26072064.

The previous prime is 78223097. The next prime is 78223127. The reversal of 78223104 is 40132287.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×782231042 = 12237707998789632, which contains 22 as substring.

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

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1254 + ... + 12570.

Almost surely, 278223104 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 78223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115669960).

78223104 is an abundant number, since it is smaller than the sum of its proper divisors (153116816).

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

78223104 is a wasteful number, since it uses less digits than its factorization.

78223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78223104 is about 8844.3826240162. The cubic root of 78223104 is about 427.6728510005.

The spelling of 78223104 in words is "seventy-eight million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 11317 22634 33951 45268 67902 90536 101853 135804 181072 203706 271608 305559 362144 407412 543216 611118 724288 814824 1086432 1222236 1448576 1629648 2172864 2444472 2897152 3259296 4345728 4888944 6518592 8691456 9777888 13037184 19555776 26074368 39111552 78223104