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2001114192 = 243711678081
BaseRepresentation
bin111011101000110…
…1001010001010000
312011110110010121110
41313101221101100
513044241123232
6530322453320
7100406122110
oct16721512120
95143403543
102001114192
11937638790
1247a204240
1325b77754c
1414daa9040
15baa32acc
hex77469450

2001114192 has 160 divisors (see below), whose sum is σ = 6542152704. Its totient is φ = 511948800.

The previous prime is 2001114191. The next prime is 2001114221. The reversal of 2001114192 is 2914111002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001114191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243592 + ... + 251672.

Almost surely, 22001114192 is an apocalyptic number.

2001114192 is a gapful number since it is divisible by the number (22) 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 2001114192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3271076352).

2001114192 is an abundant number, since it is smaller than the sum of its proper divisors (4541038512).

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

2001114192 is a wasteful number, since it uses less digits than its factorization.

2001114192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2001114192 is about 44733.8148607963. The cubic root of 2001114192 is about 1260.1549721203.

Adding to 2001114192 its reverse (2914111002), we get a palindrome (4915225194).

The spelling of 2001114192 in words is "two billion, one million, one hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 67 77 84 88 112 132 134 154 168 176 201 231 264 268 308 336 402 462 469 528 536 616 737 804 924 938 1072 1232 1407 1474 1608 1848 1876 2211 2814 2948 3216 3696 3752 4422 5159 5628 5896 7504 8081 8844 10318 11256 11792 15477 16162 17688 20636 22512 24243 30954 32324 35376 41272 48486 56567 61908 64648 82544 88891 96972 113134 123816 129296 169701 177782 193944 226268 247632 266673 339402 355564 387888 452536 533346 541427 622237 678804 711128 905072 1066692 1082854 1244474 1357608 1422256 1624281 1866711 2133384 2165708 2488948 2715216 3248562 3733422 3789989 4266768 4331416 4977896 5955697 6497124 7466844 7579978 8662832 9955792 11369967 11911394 12994248 14933688 15159956 17867091 22739934 23822788 25988496 29867376 30319912 35734182 41689879 45479868 47645576 60639824 71468364 83379758 90959736 95291152 125069637 142936728 166759516 181919472 250139274 285873456 333519032 500278548 667038064 1000557096 2001114192