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201814092 = 22343171283
BaseRepresentation
bin11000000011101…
…11000001001100
3112001202012220000
430001313001030
5403131022332
632005324300
75000251164
oct1401670114
9461665800
10201814092
11a3a11a07
1257706690
1332a70c2c
141cb355a4
1512ab6b7c
hexc07704c

201814092 has 120 divisors (see below), whose sum is σ = 554222592. Its totient is φ = 63957600.

The previous prime is 201814079. The next prime is 201814139. The reversal of 201814092 is 290418102.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 712983 + ... + 713265.

Almost surely, 2201814092 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 201814092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277111296).

201814092 is an abundant number, since it is smaller than the sum of its proper divisors (352408500).

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

201814092 is a wasteful number, since it uses less digits than its factorization.

201814092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

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

The square root of 201814092 is about 14206.1286774406. The cubic root of 201814092 is about 586.5663741837.

It can be divided in two parts, 2018 and 14092, that added together give a triangular number (16110 = T179).

The spelling of 201814092 in words is "two hundred one million, eight hundred fourteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 124 142 162 186 213 279 283 284 324 372 426 558 566 639 837 849 852 1116 1132 1278 1674 1698 1917 2201 2511 2547 2556 3348 3396 3834 4402 5022 5094 5751 6603 7641 7668 8773 8804 10044 10188 11502 13206 15282 17546 19809 20093 22923 23004 26319 26412 30564 35092 39618 40186 45846 52638 59427 60279 78957 79236 80372 91692 105276 118854 120558 157914 178281 180837 236871 237708 241116 315828 356562 361674 473742 542511 622883 710613 713124 723348 947484 1085022 1245766 1421226 1627533 1868649 2170044 2491532 2842452 3255066 3737298 5605947 6510132 7474596 11211894 16817841 22423788 33635682 50453523 67271364 100907046 201814092