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225722420240 = 24588311032897
BaseRepresentation
bin1101001000111000011…
…0101100110000010000
3210120121222120000120112
43102032012230300100
512144234414421430
6251410114500452
722210416625562
oct3221606546020
9716558500515
10225722420240
1187801470249
12378b5b94728
1318393414995
14acd439b332
155d11797195
hex348e1acc10

225722420240 has 80 divisors (see below), whose sum is σ = 526056830208. Its totient is φ = 90073847808.

The previous prime is 225722420177. The next prime is 225722420243. The reversal of 225722420240 is 42024227522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2257224202402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225722420197 and 225722420206.

It is not an unprimeable number, because it can be changed into a prime (225722420243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77914472 + ... + 77917368.

Almost surely, 2225722420240 is an apocalyptic number.

225722420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225722420240 is an abundant number, since it is smaller than the sum of its proper divisors (300334409968).

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

225722420240 is a wasteful number, since it uses less digits than its factorization.

225722420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4890 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 32.

Adding to 225722420240 its reverse (42024227522), we get a palindrome (267746647762).

The spelling of 225722420240 in words is "two hundred twenty-five billion, seven hundred twenty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 883 1103 1766 2206 2897 3532 4412 4415 5515 5794 7064 8824 8830 11030 11588 14128 14485 17648 17660 22060 23176 28970 35320 44120 46352 57940 70640 88240 115880 231760 973949 1947898 2558051 3195391 3895796 4869745 5116102 6390782 7791592 9739490 10232204 12781564 12790255 15583184 15976955 19478980 20464408 25563128 25580510 31953910 38957960 40928816 51126256 51161020 63907820 77915920 102322040 127815640 204644080 255631280 2821530253 5643060506 11286121012 14107651265 22572242024 28215302530 45144484048 56430605060 112861210120 225722420240