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225641743410 = 235172693314969
BaseRepresentation
bin1101001000100101001…
…0111100010000110010
3210120102100202012202210
43102021102330100302
512144103241242120
6251354113352550
722205420113266
oct3221122742062
9716370665683
10225641743410
118776a977586
1237892b68756
131837c7a8505
14acc779a0a6
155d0965cce0
hex34894bc432

225641743410 has 128 divisors (see below), whose sum is σ = 577381996800. Its totient is φ = 56239349760.

The previous prime is 225641743373. The next prime is 225641743423. The reversal of 225641743410 is 14347146522.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45407406 + ... + 45412374.

It is an arithmetic number, because the mean of its divisors is an integer number (4510796850).

Almost surely, 2225641743410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225641743410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288690998400).

225641743410 is an abundant number, since it is smaller than the sum of its proper divisors (351740253390).

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

225641743410 is a wasteful number, since it uses less digits than its factorization.

225641743410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596.

The product of its (nonzero) digits is 161280, while the sum is 39.

Adding to 225641743410 its reverse (14347146522), we get a palindrome (239988889932).

The spelling of 225641743410 in words is "two hundred twenty-five billion, six hundred forty-one million, seven hundred forty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 269 331 510 538 662 807 993 1345 1614 1655 1986 2690 3310 4035 4573 4965 4969 5627 8070 9146 9930 9938 11254 13719 14907 16881 22865 24845 27438 28135 29814 33762 45730 49690 56270 68595 74535 84405 84473 89039 137190 149070 168810 168946 178078 253419 267117 422365 445195 506838 534234 844730 890390 1267095 1335585 1336661 1513663 1644739 2534190 2671170 2673322 3027326 3289478 4009983 4540989 4934217 6683305 7568315 8019966 8223695 9081978 9868434 13366610 15136630 16447390 20049915 22704945 22723237 24671085 27960563 40099830 45409890 45446474 49342170 55921126 68169711 83881689 113616185 136339422 139802815 167763378 227232370 279605630 340848555 419408445 442434791 681697110 838816890 884869582 1327304373 2212173955 2654608746 4424347910 6636521865 7521391447 13273043730 15042782894 22564174341 37606957235 45128348682 75213914470 112820871705 225641743410