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114822880 = 2554715269
BaseRepresentation
bin1101101100000…
…00111011100000
322000001121101021
412312000323200
5213343313010
615221015224
72562656404
oct666007340
9260047337
10114822880
11598a6147
1232554514
131aa33643
141136d104
15a1318da
hex6d80ee0

114822880 has 48 divisors (see below), whose sum is σ = 277058880. Its totient is φ = 44948992.

The previous prime is 114822847. The next prime is 114822881. The reversal of 114822880 is 88228411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114822881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 15154.

It is an arithmetic number, because the mean of its divisors is an integer number (5772060).

Almost surely, 2114822880 is an apocalyptic number.

114822880 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 114822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138529440).

114822880 is an abundant number, since it is smaller than the sum of its proper divisors (162236000).

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

114822880 is a wasteful number, since it uses less digits than its factorization.

114822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15331 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 114822880 is about 10715.5438499406. The cubic root of 114822880 is about 486.0446255037.

The spelling of 114822880 in words is "one hundred fourteen million, eight hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 3760 7520 15269 30538 61076 76345 122152 152690 244304 305380 488608 610760 717643 1221520 1435286 2443040 2870572 3588215 5741144 7176430 11482288 14352860 22964576 28705720 57411440 114822880