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225655610376 = 233729162128573
BaseRepresentation
bin1101001000101000011…
…1110101110000001000
3210120110022211201200010
43102022013311300020
512144120314013001
6251355330511520
722205646016620
oct3221207656010
9716408751603
10225655610376
1187777788a89
12378977355a0
1318382622211
14acc9569880
155d0a99b8d6
hex348a1f5c08

225655610376 has 128 divisors (see below), whose sum is σ = 667397203200. Its totient is φ = 62209244160.

The previous prime is 225655610371. The next prime is 225655610381. The reversal of 225655610376 is 673016556522.

It is an interprime number because it is at equal distance from previous prime (225655610371) and next prime (225655610381).

It is a super-2 number, since 2×2256556103762 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225655610371) 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, 7883226 + ... + 7911798.

It is an arithmetic number, because the mean of its divisors is an integer number (5214040650).

Almost surely, 2225655610376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225655610376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333698601600).

225655610376 is an abundant number, since it is smaller than the sum of its proper divisors (441741592824).

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

225655610376 is a wasteful number, since it uses less digits than its factorization.

225655610376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30239 (or 30235 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 225655610376 in words is "two hundred twenty-five billion, six hundred fifty-five million, six hundred ten thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1621 1624 2436 3242 4863 4872 6484 9726 11347 12968 19452 22694 28573 34041 38904 45388 47009 57146 68082 85719 90776 94018 114292 136164 141027 171438 188036 200011 228584 272328 282054 329063 342876 376072 400022 564108 600033 658126 685752 800044 828617 987189 1128216 1200066 1316252 1600088 1657234 1974378 2400132 2485851 2632504 3314468 3948756 4800264 4971702 5800319 6628936 7897512 9943404 11600638 17400957 19886808 23201276 34801914 46316833 46402552 69603828 92633666 138950499 139207656 185267332 277900998 324217831 370534664 555801996 648435662 972653493 1111603992 1296871324 1343188157 1945306986 2593742648 2686376314 3890613972 4029564471 5372752628 7781227944 8059128942 9402317099 10745505256 16118257884 18804634198 28206951297 32236515768 37609268396 56413902594 75218536792 112827805188 225655610376