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114557772 = 223729313741
BaseRepresentation
bin1101101010000…
…00001101001100
321222120010201110
412311000031030
5213311322042
615211212020
72560503450
oct665001514
9258503643
10114557772
1159734a4a
1232447010
131a96ca84
1411300660
15a0cd09c
hex6d4034c

114557772 has 192 divisors, whose sum is σ = 343203840. Its totient is φ = 29030400.

The previous prime is 114557767. The next prime is 114557791. The reversal of 114557772 is 277755411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114557772.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2794072 + ... + 2794112.

It is an arithmetic number, because the mean of its divisors is an integer number (1787520).

Almost surely, 2114557772 is an apocalyptic number.

114557772 is a gapful number since it is divisible by the number (12) 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 114557772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

114557772 is an abundant number, since it is smaller than the sum of its proper divisors (228646068).

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

114557772 is a wasteful number, since it uses less digits than its factorization.

114557772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 68600, while the sum is 39.

The square root of 114557772 is about 10703.1664473650. The cubic root of 114557772 is about 485.6702703400.

The spelling of 114557772 in words is "one hundred fourteen million, five hundred fifty-seven thousand, seven hundred seventy-two".