Search a number
-
+
2255915028 = 2231742126267
BaseRepresentation
bin1000011001110110…
…1000100000010100
312211012220100122110
42012131220200110
514110003240103
61011504031020
7106621650513
oct20635504024
95735810573
102255915028
11a58450394
1252b602470
1329c4ab183
1417587467a
15d30b4403
hex86768814

2255915028 has 48 divisors (see below), whose sum is σ = 5586888384. Its totient is φ = 706030080.

The previous prime is 2255915027. The next prime is 2255915029. The reversal of 2255915028 is 8205195522.

It is an interprime number because it is at equal distance from previous prime (2255915027) and next prime (2255915029).

It is a super-2 number, since 2×22559150282 = 10178305227112481568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255915023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72751 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (116393508).

Almost surely, 22255915028 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 2255915028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793444192).

2255915028 is an abundant number, since it is smaller than the sum of its proper divisors (3330973356).

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

2255915028 is a wasteful number, since it uses less digits than its factorization.

2255915028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26712 (or 26710 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The square root of 2255915028 is about 47496.4738480658. The cubic root of 2255915028 is about 1311.5179707589.

The spelling of 2255915028 in words is "two billion, two hundred fifty-five million, nine hundred fifteen thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 421 842 1263 1684 2526 5052 7157 14314 21471 26267 28628 42942 52534 78801 85884 105068 157602 315204 446539 893078 1339617 1786156 2679234 5358468 11058407 22116814 33175221 44233628 66350442 132700884 187992919 375985838 563978757 751971676 1127957514 2255915028