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114922890 = 232517312423
BaseRepresentation
bin1101101100110…
…01010110001010
322000020200120100
412312121112022
5213410013030
615223110230
72563554105
oct666312612
9260220510
10114922890
11599642a5
12325a2376
131aa6a014
141139773c
15a151360
hex6d9958a

114922890 has 96 divisors (see below), whose sum is σ = 326716416. Its totient is φ = 27901440.

The previous prime is 114922813. The next prime is 114922891. The reversal of 114922890 is 98229411.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (114922891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46219 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (3403296).

Almost surely, 2114922890 is an apocalyptic number.

114922890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114922890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163358208).

114922890 is an abundant number, since it is smaller than the sum of its proper divisors (211793526).

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

114922890 is a wasteful number, since it uses less digits than its factorization.

114922890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 114922890 is about 10720.2094195962. The cubic root of 114922890 is about 486.1856984821.

The spelling of 114922890 in words is "one hundred fourteen million, nine hundred twenty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 31 34 45 51 62 85 90 93 102 153 155 170 186 255 279 306 310 465 510 527 558 765 930 1054 1395 1530 1581 2423 2635 2790 3162 4743 4846 5270 7269 7905 9486 12115 14538 15810 21807 23715 24230 36345 41191 43614 47430 72690 75113 82382 109035 123573 150226 205955 218070 225339 247146 370719 375565 411910 450678 617865 676017 741438 751130 1126695 1235730 1276921 1352034 1853595 2253390 2553842 3380085 3707190 3830763 6384605 6760170 7661526 11492289 12769210 19153815 22984578 38307630 57461445 114922890