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115221440 = 265472163
BaseRepresentation
bin1101101111000…
…10001111000000
322000210212002202
412313202033000
5213444041230
615233332332
72566236365
oct667421700
9260725082
10115221440
115a048634
12327070a8
131ab42b89
141143446c
15a1aea45
hex6de23c0

115221440 has 84 divisors (see below), whose sum is σ = 282052776. Its totient is φ = 44831232.

The previous prime is 115221433. The next prime is 115221473. The reversal of 115221440 is 44122511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 706799 + ... + 706961.

Almost surely, 2115221440 is an apocalyptic number.

115221440 is a gapful number since it is divisible by the number (10) 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 115221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141026388).

115221440 is an abundant number, since it is smaller than the sum of its proper divisors (166831336).

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

115221440 is an equidigital number, since it uses as much as digits as its factorization.

115221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 115221440 is about 10734.1250225624. The cubic root of 115221440 is about 486.6063435167.

Adding to 115221440 its reverse (44122511), we get a palindrome (159343951).

It can be divided in two parts, 11522 and 1440, that multiplied together give a triangular number (16591680 = T5760).

The spelling of 115221440 in words is "one hundred fifteen million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 160 163 188 235 320 326 376 470 652 752 815 940 1304 1504 1630 1880 2209 2608 3008 3260 3760 4418 5216 6520 7520 7661 8836 10432 11045 13040 15040 15322 17672 22090 26080 30644 35344 38305 44180 52160 61288 70688 76610 88360 122576 141376 153220 176720 245152 306440 353440 360067 490304 612880 706880 720134 1225760 1440268 1800335 2451520 2880536 3600670 5761072 7201340 11522144 14402680 23044288 28805360 57610720 115221440