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253550020240 = 2451110117915937
BaseRepresentation
bin1110110000100011000…
…0100100011010010000
3220020110100002120101101
43230020300210122100
513123232301121430
6312251304514144
724214130416666
oct3541060443220
9806410076341
10253550020240
1198591415a80
124118147b954
131aba96bcb9a
14c3b40b0c36
1568de806dca
hex3b08c24690

253550020240 has 160 divisors (see below), whose sum is σ = 653131589760. Its totient is φ = 90771456000.

The previous prime is 253550020211. The next prime is 253550020253. The reversal of 253550020240 is 42020055352.

It is a super-2 number, since 2×2535500202402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253550020199 and 253550020208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15901552 + ... + 15917488.

It is an arithmetic number, because the mean of its divisors is an integer number (4082072436).

Almost surely, 2253550020240 is an apocalyptic number.

253550020240 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 253550020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326565794880).

253550020240 is an abundant number, since it is smaller than the sum of its proper divisors (399581569520).

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

253550020240 is a wasteful number, since it uses less digits than its factorization.

253550020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16241 (or 16235 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

Adding to 253550020240 its reverse (42020055352), we get a palindrome (295570075592).

The spelling of 253550020240 in words is "two hundred fifty-three billion, five hundred fifty million, twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 179 202 220 358 404 440 505 716 808 880 895 1010 1111 1432 1616 1790 1969 2020 2222 2864 3580 3938 4040 4444 5555 7160 7876 8080 8888 9845 11110 14320 15752 15937 17776 18079 19690 22220 31504 31874 36158 39380 44440 63748 72316 78760 79685 88880 90395 127496 144632 157520 159370 175307 180790 198869 254992 289264 318740 350614 361580 397738 637480 701228 723160 795476 876535 994345 1274960 1402456 1446320 1590952 1609637 1753070 1988690 2804912 2852723 3181904 3219274 3506140 3977380 5705446 6438548 7012280 7954760 8048185 11410892 12877096 14024560 14263615 15909520 16096370 17706007 22821784 25754192 28527230 31379953 32192740 35412014 45643568 57054460 62759906 64385480 70824028 88530035 114108920 125519812 128770960 141648056 156899765 177060070 228217840 251039624 283296112 288125023 313799530 354120140 502079248 576250046 627599060 708240280 1152500092 1255198120 1416480560 1440625115 2305000184 2510396240 2881250230 3169375253 4610000368 5762500460 6338750506 11525000920 12677501012 15846876265 23050001840 25355002024 31693752530 50710004048 63387505060 126775010120 253550020240