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480552226 = 27113173741
BaseRepresentation
bin11100101001001…
…010010100100010
31020111020120201121
4130221022110202
51441010132401
6115403522454
714623424620
oct3451122442
91214216647
10480552226
11227294000
12114b2942a
137873613b
1447b72510
152c2c5ca1
hex1ca4a522

480552226 has 128 divisors (see below), whose sum is σ = 1009387008. Its totient is φ = 167270400.

The previous prime is 480552217. The next prime is 480552253. The reversal of 480552226 is 622255084.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 480552191 and 480552200.

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, 11720766 + ... + 11720806.

It is an arithmetic number, because the mean of its divisors is an integer number (7885836).

Almost surely, 2480552226 is an apocalyptic number.

480552226 is an abundant number, since it is smaller than the sum of its proper divisors (528834782).

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

480552226 is a wasteful number, since it uses less digits than its factorization.

480552226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 480552226 is about 21921.5014540519. The cubic root of 480552226 is about 783.2736758953.

The spelling of 480552226 in words is "four hundred eighty million, five hundred fifty-two thousand, two hundred twenty-six".

Divisors: 1 2 7 11 14 17 22 34 37 41 74 77 82 119 121 154 187 238 242 259 287 374 407 451 518 574 629 697 814 847 902 1258 1309 1331 1394 1517 1694 2057 2618 2662 2849 3034 3157 4114 4403 4477 4879 4961 5698 6314 6919 7667 8806 8954 9317 9758 9922 10619 13838 14399 15334 16687 18634 21238 22627 25789 28798 31339 33374 34727 45254 48433 49247 51578 53669 54571 62678 69454 76109 84337 96866 98494 107338 109142 116809 152218 158389 168674 180523 183557 233618 283679 316778 344729 361046 367114 381997 532763 567358 590359 689458 763994 837199 927707 1065526 1180718 1284899 1674398 1855414 1985753 2019127 2569798 3120469 3971506 4038254 5860393 6240938 6493949 11720786 12987898 14133889 21843283 28267778 34325159 43686566 68650318 240276113 480552226