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225222705312 = 2531131762637
BaseRepresentation
bin1101000111000001010…
…0011100000010100000
3210112100011020212120020
43101300110130002200
512142224003032222
6251244344113440
722162141260003
oct3216024340240
9715304225506
10225222705312
1187575389000
1237796765880
1318313a2c587
14ac87c7b53a
155cd298865c
hex347051c0a0

225222705312 has 96 divisors (see below), whose sum is σ = 650286512064. Its totient is φ = 68249265920.

The previous prime is 225222705289. The next prime is 225222705341. The reversal of 225222705312 is 213507222522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753543 + ... + 1009094.

It is an arithmetic number, because the mean of its divisors is an integer number (6773817834).

Almost surely, 2225222705312 is an apocalyptic number.

225222705312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

225222705312 is an abundant number, since it is smaller than the sum of its proper divisors (425063806752).

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

225222705312 is a wasteful number, since it uses less digits than its factorization.

225222705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762683 (or 1762653 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

Adding to 225222705312 its reverse (213507222522), we get a palindrome (438729927834).

The spelling of 225222705312 in words is "two hundred twenty-five billion, two hundred twenty-two million, seven hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1331 1452 1936 2662 2904 3872 3993 5324 5808 7986 10648 11616 15972 21296 31944 42592 63888 127776 1762637 3525274 5287911 7050548 10575822 14101096 19389007 21151644 28202192 38778014 42303288 56404384 58167021 77556028 84606576 116334042 155112056 169213152 213279077 232668084 310224112 426558154 465336168 620448224 639837231 853116308 930672336 1279674462 1706232616 1861344672 2346069847 2559348924 3412465232 4692139694 5118697848 6824930464 7038209541 9384279388 10237395696 14076419082 18768558776 20474791392 28152838164 37537117552 56305676328 75074235104 112611352656 225222705312