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2258435140 = 2251341920731
BaseRepresentation
bin1000011010011100…
…1111110001000100
312211101122101120221
42012213033301010
514111124411030
61012034034124
7106652245003
oct20647176104
95741571527
102258435140
11a59911825
12530418944
1329cb81270
14175d2cc3a
15d3410e7a
hex869cfc44

2258435140 has 48 divisors (see below), whose sum is σ = 5119974720. Its totient is φ = 831853440.

The previous prime is 2258435131. The next prime is 2258435143. The reversal of 2258435140 is 415348522.

It is a junction number, because it is equal to n+sod(n) for n = 2258435096 and 2258435105.

It is not an unprimeable number, because it can be changed into a prime (2258435143) 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, 98575 + ... + 119305.

It is an arithmetic number, because the mean of its divisors is an integer number (106666140).

Almost surely, 22258435140 is an apocalyptic number.

2258435140 is a gapful number since it is divisible by the number (20) 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 2258435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559987360).

2258435140 is an abundant number, since it is smaller than the sum of its proper divisors (2861539580).

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

2258435140 is a wasteful number, since it uses less digits than its factorization.

2258435140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21172 (or 21170 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 2258435140 is about 47522.9959072447. The cubic root of 2258435140 is about 1312.0061602737.

The spelling of 2258435140 in words is "two billion, two hundred fifty-eight million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 419 838 1676 2095 4190 5447 8380 10894 20731 21788 27235 41462 54470 82924 103655 108940 207310 269503 414620 539006 1078012 1347515 2695030 5390060 8686289 17372578 34745156 43431445 86862890 112921757 173725780 225843514 451687028 564608785 1129217570 2258435140