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114904224 = 2533177823
BaseRepresentation
bin1101101100101…
…00110010100000
322000012201222000
412312110302200
5213403413344
615222444000
72563445511
oct666246240
9260181860
10114904224
1159951276
1232593600
131aa61686
1411390a08
15a14aa69
hex6d94ca0

114904224 has 96 divisors (see below), whose sum is σ = 354896640. Its totient is φ = 36043776.

The previous prime is 114904219. The next prime is 114904247. The reversal of 114904224 is 422409411.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10777 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (3696840).

Almost surely, 2114904224 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 114904224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177448320).

114904224 is an abundant number, since it is smaller than the sum of its proper divisors (239992416).

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

114904224 is a wasteful number, since it uses less digits than its factorization.

114904224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114904224 is about 10719.3387855781. The cubic root of 114904224 is about 486.1593746470.

The spelling of 114904224 in words is "one hundred fourteen million, nine hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 7823 14688 15646 23469 31292 46938 62584 70407 93876 125168 132991 140814 187752 211221 250336 265982 281628 375504 398973 422442 531964 563256 751008 797946 844884 1063928 1126512 1196919 1595892 1689768 2127856 2253024 2393838 3191784 3379536 3590757 4255712 4787676 6383568 6759072 7181514 9575352 12767136 14363028 19150704 28726056 38301408 57452112 114904224