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115220448 = 2533719051
BaseRepresentation
bin1101101111000…
…01111111100000
322000210210202000
412313201333200
5213444023243
615233324000
72566233450
oct667417740
9260723660
10115220448
115a047912
1232706600
131ab425a5
1411433d60
15a1ae5d3
hex6de1fe0

115220448 has 96 divisors (see below), whose sum is σ = 384088320. Its totient is φ = 32918400.

The previous prime is 115220447. The next prime is 115220461. The reversal of 115220448 is 844022511.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115220447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3478 + ... + 15573.

It is an arithmetic number, because the mean of its divisors is an integer number (4000920).

Almost surely, 2115220448 is an apocalyptic number.

115220448 is a gapful number since it is divisible by the number (18) 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 115220448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192044160).

115220448 is an abundant number, since it is smaller than the sum of its proper divisors (268867872).

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

115220448 is a wasteful number, since it uses less digits than its factorization.

115220448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19077 (or 19063 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 115220448 is about 10734.0788146911. The cubic root of 115220448 is about 486.6049470321.

Adding to 115220448 its reverse (844022511), we get a palindrome (959242959).

The spelling of 115220448 in words is "one hundred fifteen million, two hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 19051 38102 57153 76204 114306 133357 152408 171459 228612 266714 304816 342918 400071 457224 514377 533428 609632 685836 800142 914448 1028754 1066856 1200213 1371672 1600284 1828896 2057508 2133712 2400426 2743344 3200568 3600639 4115016 4267424 4800852 5486688 6401136 7201278 8230032 9601704 12802272 14402556 16460064 19203408 28805112 38406816 57610224 115220448