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1225502400 = 26352255313
BaseRepresentation
bin100100100001011…
…1010111011000000
310011101222222020210
41021002322323000
510002212034100
6321334434120
742240412203
oct11102727300
93141888223
101225502400
11579845101
122a2502940
13166b83265
14b8a8b93a
15728c6c50
hex490baec0

1225502400 has 84 divisors (see below), whose sum is σ = 4020684872. Its totient is φ = 326799360.

The previous prime is 1225502389. The next prime is 1225502407. The reversal of 1225502400 is 42055221.

It is a happy number.

It is a super-2 number, since 2×12255024002 = 3003712264811520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1225502407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 122857 + ... + 132456.

Almost surely, 21225502400 is an apocalyptic number.

1225502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225502400 is an abundant number, since it is smaller than the sum of its proper divisors (2795182472).

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

1225502400 is a wasteful number, since it uses less digits than its factorization.

1225502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255338 (or 255323 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 1225502400 is about 35007.1764071312. The cubic root of 1225502400 is about 1070.1337358680.

Adding to 1225502400 its reverse (42055221), we get a palindrome (1267557621).

The spelling of 1225502400 in words is "one billion, two hundred twenty-five million, five hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 255313 510626 765939 1021252 1276565 1531878 2042504 2553130 3063756 3829695 4085008 5106260 6127512 6382825 7659390 8170016 10212520 12255024 12765650 15318780 16340032 19148475 20425040 24510048 25531300 30637560 38296950 40850080 49020096 51062600 61275120 76593900 81700160 102125200 122550240 153187800 204250400 245100480 306375600 408500800 612751200 1225502400