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118223328 = 25389101137
BaseRepresentation
bin1110000101111…
…11000111100000
322020110100220210
413002333013200
5220231121303
615421534120
72633611266
oct702770740
9266410823
10118223328
1160808a33
1233714340
131b654342
14119b6436
15a5a4203
hex70bf1e0

118223328 has 96 divisors (see below), whose sum is σ = 319243680. Its totient is φ = 38297600.

The previous prime is 118223317. The next prime is 118223333. The reversal of 118223328 is 823322811.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 118223295 and 118223304.

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, 862876 + ... + 863012.

It is an arithmetic number, because the mean of its divisors is an integer number (3325455).

Almost surely, 2118223328 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 118223328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159621840).

118223328 is an abundant number, since it is smaller than the sum of its proper divisors (201020352).

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

118223328 is a wasteful number, since it uses less digits than its factorization.

118223328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 118223328 is about 10873.0551364370. The cubic root of 118223328 is about 490.7960515886.

It can be divided in two parts, 118 and 223328, that added together give a triangular number (223446 = T668).

The spelling of 118223328 in words is "one hundred eighteen million, two hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 101 137 178 202 267 274 303 356 404 411 534 548 606 712 808 822 1068 1096 1212 1424 1616 1644 2136 2192 2424 2848 3232 3288 4272 4384 4848 6576 8544 8989 9696 12193 13152 13837 17978 24386 26967 27674 35956 36579 41511 48772 53934 55348 71912 73158 83022 97544 107868 110696 143824 146316 166044 195088 215736 221392 287648 292632 332088 390176 431472 442784 585264 664176 862944 1170528 1231493 1328352 2462986 3694479 4925972 7388958 9851944 14777916 19703888 29555832 39407776 59111664 118223328