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225314120000 = 26545632853
BaseRepresentation
bin1101000111010111000…
…1001010000101000000
3210112120112021012221102
43101311301022011000
512142420403320000
6251301411313532
722164331264064
oct3216561120500
9715515235842
10225314120000
1187611a46232
12378012ab8a8
13183299583c8
14ac96075aa4
155cda9e43d5
hex3475c4a140

225314120000 has 70 divisors (see below), whose sum is σ = 558705889698. Its totient is φ = 90125632000.

The previous prime is 225314119999. The next prime is 225314120023. The reversal of 225314120000 is 21413522.

It can be written as a sum of positive squares in 5 ways, for example, as 104282493184 + 121031626816 = 322928^2 + 347896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2776427 + ... + 2856426.

Almost surely, 2225314120000 is an apocalyptic number.

225314120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225314120000 is an abundant number, since it is smaller than the sum of its proper divisors (333391769698).

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

225314120000 is an frugal number, since it uses more digits than its factorization.

225314120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632885 (or 5632860 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 225314120000 its reverse (21413522), we get a palindrome (225335533522).

The spelling of 225314120000 in words is "two hundred twenty-five billion, three hundred fourteen million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5632853 11265706 22531412 28164265 45062824 56328530 90125648 112657060 140821325 180251296 225314120 281642650 360502592 450628240 563285300 704106625 901256480 1126570600 1408213250 1802512960 2253141200 2816426500 3520533125 4506282400 5632853000 7041066250 9012564800 11265706000 14082132500 22531412000 28164265000 45062824000 56328530000 112657060000 225314120000