Search a number
-
+
225454839064 = 237133153188491
BaseRepresentation
bin1101000111111000100…
…1111101010100011000
3210112221100001111012121
43101332021331110120
512143212414322224
6251323355351024
722200660340540
oct3217611752430
9715840044177
10225454839064
1187684419584
1237840452474
131834cb57b20
14acaaa26320
155ce803dbe4
hex347e27d518

225454839064 has 128 divisors (see below), whose sum is σ = 547199815680. Its totient is φ = 84684787200.

The previous prime is 225454838953. The next prime is 225454839101. The reversal of 225454839064 is 460938454522.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

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, 1101859 + ... + 1290349.

It is an arithmetic number, because the mean of its divisors is an integer number (4274998560).

Almost surely, 2225454839064 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 225454839064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273599907840).

225454839064 is an abundant number, since it is smaller than the sum of its proper divisors (321744976616).

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

225454839064 is a wasteful number, since it uses less digits than its factorization.

225454839064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188601 (or 188597 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 225454839064 in words is "two hundred twenty-five billion, four hundred fifty-four million, eight hundred thirty-nine thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 53 56 62 91 104 106 124 182 212 217 248 364 371 403 424 434 689 728 742 806 868 1378 1484 1612 1643 1736 2756 2821 2968 3224 3286 4823 5512 5642 6572 9646 11284 11501 13144 19292 21359 22568 23002 38584 42718 46004 85436 92008 149513 170872 188491 299026 376982 598052 753964 1196104 1319437 1507928 2450383 2638874 4900766 5277748 5843221 9801532 9990023 10555496 11686442 17152681 19603064 19980046 23372884 34305362 39960092 40902547 46745768 68610724 69930161 75961873 79920184 81805094 129870299 137221448 139860322 151923746 163610188 259740598 279720644 303847492 309690713 327220376 519481196 531733111 559441288 607694984 619381426 909092093 1038962392 1063466222 1238762852 1818184186 2126932444 2167834991 2477525704 3636368372 4025979269 4253864888 4335669982 7272736744 8051958538 8671339964 16103917076 17342679928 28181854883 32207834152 56363709766 112727419532 225454839064