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2284700272 = 242937731823
BaseRepresentation
bin1000100000101101…
…1100001001110000
312220020001210120121
42020023130021300
514134340402042
61014413020024
7110421426511
oct21013341160
95806053517
102284700272
11a72721148
12539184614
132a544926a
14179608a08
15d589d367
hex882dc270

2284700272 has 80 divisors (see below), whose sum is σ = 4770051840. Its totient is φ = 1057867776.

The previous prime is 2284700263. The next prime is 2284700287. The reversal of 2284700272 is 2720074822.

It is a super-3 number, since 3×22847002723 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252353 + ... + 1254175.

It is an arithmetic number, because the mean of its divisors is an integer number (59625648).

Almost surely, 22284700272 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 2284700272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385025920).

2284700272 is an abundant number, since it is smaller than the sum of its proper divisors (2485351568).

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

2284700272 is a wasteful number, since it uses less digits than its factorization.

2284700272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 2284700272 is about 47798.5383876955. The cubic root of 2284700272 is about 1317.0726896362.

The spelling of 2284700272 in words is "two billion, two hundred eighty-four million, seven hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 37 58 73 74 116 146 148 232 292 296 464 584 592 1073 1168 1823 2117 2146 2701 3646 4234 4292 5402 7292 8468 8584 10804 14584 16936 17168 21608 29168 33872 43216 52867 67451 78329 105734 133079 134902 156658 211468 266158 269804 313316 422936 532316 539608 626632 845872 1064632 1079216 1253264 1956079 2129264 3859291 3912158 4923923 7718582 7824316 9847846 15437164 15648632 19695692 30874328 31297264 39391384 61748656 78782768 142793767 285587534 571175068 1142350136 2284700272