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111214944 = 2534107401
BaseRepresentation
bin1101010000100…
…00000101100000
321202021022020000
412220100011200
5211432334234
615011420000
72520211551
oct650200540
9252238200
10111214944
1157861485
12312b4600
131a06c379
1410ab0328
159b6c899
hex6a10160

111214944 has 120 divisors (see below), whose sum is σ = 330960168. Its totient is φ = 36633600.

The previous prime is 111214903. The next prime is 111214963. The reversal of 111214944 is 449412111.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 277144 + ... + 277544.

Almost surely, 2111214944 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 111214944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165480084).

111214944 is an abundant number, since it is smaller than the sum of its proper divisors (219745224).

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

111214944 is a wasteful number, since it uses less digits than its factorization.

111214944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 111214944 is about 10545.8496101547. The cubic root of 111214944 is about 480.8995630849.

The spelling of 111214944 in words is "one hundred eleven million, two hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 401 428 432 642 648 802 856 864 963 1203 1284 1296 1604 1712 1926 2406 2568 2592 2889 3208 3424 3609 3852 4812 5136 5778 6416 7218 7704 8667 9624 10272 10827 11556 12832 14436 15408 17334 19248 21654 23112 28872 30816 32481 34668 38496 42907 43308 46224 57744 64962 69336 85814 86616 92448 115488 128721 129924 138672 171628 173232 257442 259848 277344 343256 346464 386163 514884 519696 686512 772326 1029768 1039392 1158489 1373024 1544652 2059536 2316978 3089304 3475467 4119072 4633956 6178608 6950934 9267912 12357216 13901868 18535824 27803736 37071648 55607472 111214944