Search a number
-
+
2254556052 = 2233724110391
BaseRepresentation
bin1000011001100001…
…1100101110010100
312211010100022111000
42012120130232110
514104131243202
61011414543300
7106604260500
oct20630345624
95733308430
102254556052
11a57702371
1252b067b30
1329c123748
141755dd300
15d2de691c
hex8661cb94

2254556052 has 144 divisors (see below), whose sum is σ = 6965965440. Its totient is φ = 628387200.

The previous prime is 2254556047. The next prime is 2254556053. The reversal of 2254556052 is 2506554522.

2254556052 is a `hidden beast` number, since 2 + 2 + 5 + 45 + 5 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2254555998 and 2254556016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254556053) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211777 + ... + 222167.

It is an arithmetic number, because the mean of its divisors is an integer number (48374760).

Almost surely, 22254556052 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 2254556052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482982720).

2254556052 is an abundant number, since it is smaller than the sum of its proper divisors (4711409388).

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

2254556052 is a wasteful number, since it uses less digits than its factorization.

2254556052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10459 (or 10444 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 2254556052 is about 47482.1656203674. The cubic root of 2254556052 is about 1311.2545625724.

The spelling of 2254556052 in words is "two billion, two hundred fifty-four million, five hundred fifty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 49 54 63 82 84 98 108 123 126 147 164 189 196 246 252 287 294 369 378 441 492 574 588 738 756 861 882 1107 1148 1323 1476 1722 1764 2009 2214 2583 2646 3444 4018 4428 5166 5292 6027 7749 8036 10332 10391 12054 15498 18081 20782 24108 30996 31173 36162 41564 54243 62346 72324 72737 93519 108486 124692 145474 187038 216972 218211 280557 290948 374076 426031 436422 509159 561114 654633 852062 872844 1018318 1122228 1278093 1309266 1527477 1704124 1963899 2036636 2556186 2618532 2982217 3054954 3834279 3927798 4582431 5112372 5964434 6109908 7668558 7855596 8946651 9164862 11502837 11928868 13747293 15337116 17893302 18329724 20875519 23005674 26839953 27494586 35786604 41751038 46011348 53679906 54989172 62626557 80519859 83502076 107359812 125253114 161039718 187879671 250506228 322079436 375759342 563639013 751518684 1127278026 2254556052