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1225325200 = 2452111914657
BaseRepresentation
bin100100100001000…
…1111101010010000
310011101122222011211
41021002033222100
510002140401300
6321330545504
742236043451
oct11102175220
93141588154
101225325200
11579733a60
122a2438294
13166b206c8
14b8a43128
157288e4ba
hex4908fa90

1225325200 has 120 divisors (see below), whose sum is σ = 3380721120. Its totient is φ = 422092800.

The previous prime is 1225325177. The next prime is 1225325209. The reversal of 1225325200 is 25235221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1225325209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76272 + ... + 90928.

It is an arithmetic number, because the mean of its divisors is an integer number (28172676).

Almost surely, 21225325200 is an apocalyptic number.

1225325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690360560).

1225325200 is an abundant number, since it is smaller than the sum of its proper divisors (2155395920).

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

1225325200 is a wasteful number, since it uses less digits than its factorization.

1225325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14705 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 1225325200 is about 35004.6454060029. The cubic root of 1225325200 is about 1070.0821551616.

The spelling of 1225325200 in words is "one billion, two hundred twenty-five million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 152 176 190 200 209 220 275 304 380 400 418 440 475 550 760 836 880 950 1045 1100 1520 1672 1900 2090 2200 3344 3800 4180 4400 5225 7600 8360 10450 14657 16720 20900 29314 41800 58628 73285 83600 117256 146570 161227 234512 278483 293140 322454 366425 556966 586280 644908 732850 806135 1113932 1172560 1289816 1392415 1465700 1612270 2227864 2579632 2784830 2931400 3063313 3224540 4030675 4455728 5569660 5862800 6126626 6449080 6962075 8061350 11139320 12253252 12898160 13924150 15316565 16122700 22278640 24506504 27848300 30633130 32245400 49013008 55696600 61266260 64490800 76582825 111393200 122532520 153165650 245065040 306331300 612662600 1225325200