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225376840332 = 2232717157335089
BaseRepresentation
bin1101000111100110000…
…0011010101010001100
3210112201220021202001200
43101321200122222030
512143032432342312
6251311531505500
722166022351150
oct3217140325214
9715656252050
10225376840332
1187644394a16
123781a2b8290
1318339948627
14aca0521060
155ce12830dc
hex347981aa8c

225376840332 has 144 divisors (see below), whose sum is σ = 693781058880. Its totient is φ = 60219334656.

The previous prime is 225376840327. The next prime is 225376840333. The reversal of 225376840332 is 233048673522.

225376840332 is a `hidden beast` number, since 2 + 2 + 537 + 6 + 84 + 0 + 3 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (225376840333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505044 + ... + 840132.

It is an arithmetic number, because the mean of its divisors is an integer number (4817924020).

Almost surely, 2225376840332 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 225376840332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346890529440).

225376840332 is an abundant number, since it is smaller than the sum of its proper divisors (468404218548).

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

225376840332 is a wasteful number, since it uses less digits than its factorization.

225376840332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335280 (or 335275 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 225376840332 in words is "two hundred twenty-five billion, three hundred seventy-six million, eight hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 157 204 238 252 306 314 357 471 476 612 628 714 942 1071 1099 1413 1428 1884 2142 2198 2669 2826 3297 4284 4396 5338 5652 6594 8007 9891 10676 13188 16014 18683 19782 24021 32028 37366 39564 48042 56049 74732 96084 112098 168147 224196 335089 336294 670178 672588 1005267 1340356 2010534 2345623 3015801 4021068 4691246 5696513 6031602 7036869 9382492 11393026 12063204 14073738 17089539 21110607 22786052 28147476 34179078 39875591 42221214 51268617 52608973 68358156 79751182 84442428 102537234 105217946 119626773 157826919 159502364 205074468 210435892 239253546 315653838 358880319 368262811 473480757 478507092 631307676 717760638 736525622 894352541 946961514 1104788433 1435521276 1473051244 1788705082 1893923028 2209576866 2683057623 3314365299 3577410164 4419153732 5366115246 6260467787 6628730598 8049172869 10732230492 12520935574 13257461196 16098345738 18781403361 25041871148 32196691476 37562806722 56344210083 75125613444 112688420166 225376840332