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114673216 = 2672331359
BaseRepresentation
bin1101101010111…
…00011001000000
321222210000002011
412311130121000
5213324020331
615213502304
72561464150
oct665343100
9258700064
10114673216
1159803759
12324a1994
131a9b0498
1411330760
15a1023b1
hex6d5c640

114673216 has 112 divisors (see below), whose sum is σ = 280903680. Its totient is φ = 45365760.

The previous prime is 114673199. The next prime is 114673219. The reversal of 114673216 is 612376411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (31).

Its product of digits (6048) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114673219) 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, 319245 + ... + 319603.

Almost surely, 2114673216 is an apocalyptic number.

114673216 is a gapful number since it is divisible by the number (16) 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 114673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140451840).

114673216 is an abundant number, since it is smaller than the sum of its proper divisors (166230464).

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

114673216 is a wasteful number, since it uses less digits than its factorization.

114673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 114673216 is about 10708.5580728686. The cubic root of 114673216 is about 485.8333580538.

The spelling of 114673216 in words is "one hundred fourteen million, six hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 161 184 217 224 248 322 359 368 434 448 496 644 713 718 736 868 992 1288 1426 1436 1472 1736 1984 2513 2576 2852 2872 3472 4991 5026 5152 5704 5744 6944 8257 9982 10052 10304 11129 11408 11488 13888 16514 19964 20104 22258 22816 22976 33028 39928 40208 44516 45632 57799 66056 77903 79856 80416 89032 115598 132112 155806 159712 160832 178064 231196 255967 264224 311612 319424 356128 462392 511934 528448 623224 712256 924784 1023868 1246448 1791769 1849568 2047736 2492896 3583538 3699136 4095472 4985792 7167076 8190944 14334152 16381888 28668304 57336608 114673216