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112214004 = 22374347661
BaseRepresentation
bin1101011000000…
…11111111110100
321211011001200020
412230003333310
5212211322004
615045045140
72531542350
oct654037764
9254131606
10112214004
1158384051
12316b67b0
131a32c026
1410c90460
159cb88d9
hex6b03ff4

112214004 has 96 divisors (see below), whose sum is σ = 313184256. Its totient is φ = 30602880.

The previous prime is 112213993. The next prime is 112214041. The reversal of 112214004 is 400412211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169434 + ... + 170094.

It is an arithmetic number, because the mean of its divisors is an integer number (3262336).

Almost surely, 2112214004 is an apocalyptic number.

112214004 is a gapful number since it is divisible by the number (14) 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 112214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156592128).

112214004 is an abundant number, since it is smaller than the sum of its proper divisors (200970252).

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

112214004 is a wasteful number, since it uses less digits than its factorization.

112214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 112214004 is about 10593.1111577289. Note that the first 4 decimals coincide. The cubic root of 112214004 is about 482.3352694567.

Adding to 112214004 its reverse (400412211), we get a palindrome (512626215).

It can be divided in two parts, 11221 and 4004, that added together give a triangular number (15225 = T174).

The spelling of 112214004 in words is "one hundred twelve million, two hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 47 84 86 94 129 141 172 188 258 282 301 329 516 564 602 658 661 903 987 1204 1316 1322 1806 1974 1983 2021 2644 3612 3948 3966 4042 4627 6063 7932 8084 9254 12126 13881 14147 18508 24252 27762 28294 28423 31067 42441 55524 56588 56846 62134 84882 85269 93201 113692 124268 169764 170538 186402 198961 217469 341076 372804 397922 434938 596883 652407 795844 869876 1193766 1304814 1335881 2387532 2609628 2671762 4007643 5343524 8015286 9351167 16030572 18702334 28053501 37404668 56107002 112214004