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225045084740 = 22577397227011
BaseRepresentation
bin1101000110010110111…
…0110111101001000100
3210111212210000210221112
43101211232313221010
512141343020202430
6251215001104152
722154553441530
oct3214556675104
9714783023845
10225045084740
11874940a1043
1237747188058
13182b5cac748
14ac6c442bc0
155cc20a0195
hex3465bb7a44

225045084740 has 96 divisors (see below), whose sum is σ = 553153784064. Its totient is φ = 75316469760.

The previous prime is 225045084721. The next prime is 225045084749. The reversal of 225045084740 is 47480540522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (225045084749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877835 + ... + 1104845.

It is an arithmetic number, because the mean of its divisors is an integer number (5762018584).

Almost surely, 2225045084740 is an apocalyptic number.

225045084740 is a gapful number since it is divisible by the number (20) 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 225045084740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276576892032).

225045084740 is an abundant number, since it is smaller than the sum of its proper divisors (328108699324).

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

225045084740 is a wasteful number, since it uses less digits than its factorization.

225045084740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227197 (or 227195 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 41.

The spelling of 225045084740 in words is "two hundred twenty-five billion, forty-five million, eighty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 97 140 146 194 292 365 388 485 511 679 730 970 1022 1358 1460 1940 2044 2555 2716 3395 5110 6790 7081 10220 13580 14162 28324 35405 49567 70810 99134 141620 198268 227011 247835 454022 495670 908044 991340 1135055 1589077 2270110 3178154 4540220 6356308 7945385 15890770 16571803 22020067 31781540 33143606 44040134 66287212 82859015 88080268 110100335 116002621 154140469 165718030 220200670 232005242 308280938 331436060 440401340 464010484 580013105 616561876 770702345 1160026210 1541404690 1607464891 2320052420 3082809380 3214929782 6429859564 8037324455 11252254237 16074648910 22504508474 32149297820 45009016948 56261271185 112522542370 225045084740