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2225421534 = 237223241349
BaseRepresentation
bin1000010010100101…
…0011110011011110
312202002112010102210
42010221103303132
514024201442114
61004454301250
7106101525300
oct20451236336
95662463383
102225421534
11a42213156
12521357826
1329609269b
141717b7970
15d058e259
hex84a53cde

2225421534 has 144 divisors (see below), whose sum is σ = 5560304400. Its totient is φ = 591655680.

The previous prime is 2225421529. The next prime is 2225421551. The reversal of 2225421534 is 4351245222.

2225421534 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6376392 + ... + 6376740.

It is an arithmetic number, because the mean of its divisors is an integer number (38613225).

Almost surely, 22225421534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225421534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780152200).

2225421534 is an abundant number, since it is smaller than the sum of its proper divisors (3334882866).

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

2225421534 is a wasteful number, since it uses less digits than its factorization.

2225421534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 425 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2225421534 is about 47174.3737001351. The cubic root of 2225421534 is about 1305.5818242049.

Adding to 2225421534 its reverse (4351245222), we get a palindrome (6576666756).

The spelling of 2225421534 in words is "two billion, two hundred twenty-five million, four hundred twenty-one thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 41 42 46 49 69 82 98 123 138 147 161 246 287 294 322 349 483 529 574 698 861 943 966 1047 1058 1127 1587 1722 1886 2009 2094 2254 2443 2829 3174 3381 3703 4018 4886 5658 6027 6601 6762 7329 7406 8027 11109 12054 13202 14309 14658 16054 17101 19803 21689 22218 24081 25921 28618 34202 39606 42927 43378 46207 48162 51303 51842 56189 65067 77763 85854 92414 100163 102606 112378 130134 138621 151823 155526 168567 184621 200326 277242 300489 303646 329107 337134 369242 393323 455469 553863 600978 658214 701141 786646 910938 987321 1062761 1107726 1179969 1292347 1402282 1974642 2103423 2125522 2303749 2359938 2584694 3188283 3877041 4206846 4607498 6376566 6911247 7569461 7754082 9046429 13822494 15138922 16126243 18092858 22708383 27139287 32252486 45416766 48378729 52986227 54278574 96757458 105972454 158958681 317917362 370903589 741807178 1112710767 2225421534