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2260262004 = 22372111326881
BaseRepresentation
bin1000011010111000…
…1101110001110100
312211112002012120120
42012232031301310
514112111341004
61012141131540
7110003624100
oct20656156164
95745065516
102260262004
11a5a94a330
12530b59bb0
132a0370950
14176286900
15d36723d9
hex86b8dc74

2260262004 has 144 divisors (see below), whose sum is σ = 7207816896. Its totient is φ = 541900800.

The previous prime is 2260261999. The next prime is 2260262023. The reversal of 2260262004 is 4002620622.

2260262004 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 47 ways as a sum of consecutive naturals, for example, 70644 + ... + 97524.

It is an arithmetic number, because the mean of its divisors is an integer number (50054284).

Almost surely, 22260262004 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 2260262004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603908448).

2260262004 is an abundant number, since it is smaller than the sum of its proper divisors (4947554892).

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

2260262004 is a wasteful number, since it uses less digits than its factorization.

2260262004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26926 (or 26917 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2260262004 is about 47542.2128639381. The cubic root of 2260262004 is about 1312.3598285862.

Adding to 2260262004 its reverse (4002620622), we get a palindrome (6262882626).

The spelling of 2260262004 in words is "two billion, two hundred sixty million, two hundred sixty-two thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 26881 28028 42042 53762 80643 84084 107524 161286 188167 295691 322572 349453 376334 564501 591382 698906 752668 887073 1048359 1129002 1182764 1317169 1397812 1774146 2069837 2096718 2258004 2446171 2634338 3548292 3843983 3951507 4139674 4193436 4892342 5268676 6209511 7338513 7687966 7903014 8279348 9784684 11531949 12419022 14488859 14677026 15375932 15806028 17123197 23063898 24838044 26907881 28977718 29354052 34246394 43466577 46127796 51369591 53815762 57955436 68492788 80723643 86933154 102739182 107631524 161447286 173866308 188355167 205478364 322894572 376710334 565065501 753420668 1130131002 2260262004