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2256060072 = 2337171395683
BaseRepresentation
bin1000011001111000…
…1011111010101000
312211020011201121110
42012132023322220
514110022410242
61011511110320
7106623123420
oct20636137250
95736151543
102256060072
11a5853a362
1252b6723a0
1329c52c1b6
141758b1480
15d30e239c
hex8678bea8

2256060072 has 128 divisors (see below), whose sum is σ = 6875366400. Its totient is φ = 602201088.

The previous prime is 2256060049. The next prime is 2256060073. The reversal of 2256060072 is 2700606522.

2256060072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2256060073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394143 + ... + 399825.

It is an arithmetic number, because the mean of its divisors is an integer number (53713800).

Almost surely, 22256060072 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 2256060072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437683200).

2256060072 is an abundant number, since it is smaller than the sum of its proper divisors (4619306328).

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

2256060072 is a wasteful number, since it uses less digits than its factorization.

2256060072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5855 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2256060072 is about 47498.0007158196. Note that the first 3 decimals coincide. The cubic root of 2256060072 is about 1311.5460781615.

Adding to 2256060072 its reverse (2700606522), we get a palindrome (4956666594).

The spelling of 2256060072 in words is "two billion, two hundred fifty-six million, sixty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 139 168 204 238 278 357 408 417 476 556 714 834 952 973 1112 1428 1668 1946 2363 2856 2919 3336 3892 4726 5683 5838 7089 7784 9452 11366 11676 14178 16541 17049 18904 22732 23352 28356 33082 34098 39781 45464 49623 56712 66164 68196 79562 96611 99246 119343 132328 136392 159124 193222 198492 238686 289833 318248 386444 396984 477372 579666 676277 772888 789937 954744 1159332 1352554 1579874 2028831 2318664 2369811 2705108 3159748 4057662 4739622 5410216 5529559 6319496 8115324 9479244 11059118 13428929 16230648 16588677 18958488 22118236 26857858 33177354 40286787 44236472 53715716 66354708 80573574 94002503 107431432 132709416 161147148 188005006 282007509 322294296 376010012 564015018 752020024 1128030036 2256060072