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1020279225 = 35273172333
BaseRepresentation
bin111100110100000…
…011100110111001
32122002211112222110
4330310003212321
54042142413400
6245124042533
734166142000
oct7464034671
92562745873
101020279225
11483a14979
12245833449
131334ba724
1499709c37
155e889e50
hex3cd039b9

1020279225 has 96 divisors (see below), whose sum is σ = 2083795200. Its totient is φ = 438789120.

The previous prime is 1020279217. The next prime is 1020279251. The reversal of 1020279225 is 5229720201.

It is not a de Polignac number, because 1020279225 - 23 = 1020279217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020279192 and 1020279201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436159 + ... + 438491.

It is an arithmetic number, because the mean of its divisors is an integer number (21706200).

Almost surely, 21020279225 is an apocalyptic number.

1020279225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020279225 is an abundant number, since it is smaller than the sum of its proper divisors (1063515975).

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

1020279225 is a wasteful number, since it uses less digits than its factorization.

1020279225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1020279225 is about 31941.8099831553. The cubic root of 1020279225 is about 1006.7145555019.

Adding to 1020279225 its reverse (5229720201), we get a palindrome (6249999426).

The spelling of 1020279225 in words is "one billion, twenty million, two hundred seventy-nine thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 147 175 245 255 343 357 425 525 595 735 833 1029 1225 1275 1715 1785 2333 2499 2975 3675 4165 5145 5831 6999 8575 8925 11665 12495 16331 17493 20825 25725 29155 34995 39661 48993 58325 62475 81655 87465 114317 118983 145775 174975 198305 244965 277627 342951 408275 437325 571585 594915 800219 832881 991525 1224825 1388135 1714755 1943389 2400657 2857925 2974575 4001095 4164405 5830167 6940675 8573775 9716945 12003285 13603723 20005475 20822025 29150835 40811169 48584725 60016425 68018615 145754175 204055845 340093075 1020279225