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1225533600 = 253252170213
BaseRepresentation
bin100100100001100…
…0010100010100000
310011102001120001100
41021003002202200
510002214033400
6321335234400
742240602154
oct11103024240
93142046040
101225533600
11579866595
122a2518a00
13166b94515
14b8a99064
15728d1100
hex490c28a0

1225533600 has 108 divisors (see below), whose sum is σ = 4321563246. Its totient is φ = 326807040.

The previous prime is 1225533577. The next prime is 1225533613. The reversal of 1225533600 is 63355221.

1225533600 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 53 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 647804304 + 577729296 = 25452^2 + 24036^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 77907 + ... + 92306.

Almost surely, 21225533600 is an apocalyptic number.

1225533600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225533600 is an abundant number, since it is smaller than the sum of its proper divisors (3096029646).

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

1225533600 is a wasteful number, since it uses less digits than its factorization.

1225533600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170239 (or 170223 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1225533600 is about 35007.6220272100. The cubic root of 1225533600 is about 1070.1428172834.

Adding to 1225533600 its reverse (63355221), we get a palindrome (1288888821).

The spelling of 1225533600 in words is "one billion, two hundred twenty-five million, five hundred thirty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 170213 340426 510639 680852 851065 1021278 1361704 1531917 1702130 2042556 2553195 2723408 3063834 3404260 4085112 4255325 5106390 5446816 6127668 6808520 7659585 8170224 8510650 10212780 12255336 12765975 13617040 15319170 16340448 17021300 20425560 24510672 25531950 27234080 30638340 34042600 38297925 40851120 49021344 51063900 61276680 68085200 76595850 81702240 102127800 122553360 136170400 153191700 204255600 245106720 306383400 408511200 612766800 1225533600