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2264006550 = 2352135092281
BaseRepresentation
bin1000011011110001…
…1111111110010110
312211210010110010110
42012330133332112
514114041202200
61012353303450
7110050511121
oct20674377626
95753113113
102264006550
11a61a776a3
12532264b86
132a1082160
1417697d3b8
15d3b61b50
hex86f1ff96

2264006550 has 96 divisors (see below), whose sum is σ = 6061174560. Its totient is φ = 555955200.

The previous prime is 2264006533. The next prime is 2264006551. The reversal of 2264006550 is 556004622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2264006551) 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, 991410 + ... + 993690.

It is an arithmetic number, because the mean of its divisors is an integer number (63137235).

Almost surely, 22264006550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264006550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030587280).

2264006550 is an abundant number, since it is smaller than the sum of its proper divisors (3797168010).

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

2264006550 is a wasteful number, since it uses less digits than its factorization.

2264006550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2264006550 is about 47581.5778426903. The cubic root of 2264006550 is about 1313.0841517655.

The spelling of 2264006550 in words is "two billion, two hundred sixty-four million, six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 509 650 975 1018 1527 1950 2281 2545 3054 4562 5090 6617 6843 7635 11405 12725 13234 13686 15270 19851 22810 25450 29653 33085 34215 38175 39702 57025 59306 66170 68430 76350 88959 99255 114050 148265 165425 171075 177918 198510 296530 330850 342150 444795 496275 741325 889590 992550 1161029 1482650 2223975 2322058 3483087 4447950 5805145 6966174 11610290 15093377 17415435 29025725 30186754 34830870 45280131 58051450 75466885 87077175 90560262 150933770 174154350 226400655 377334425 452801310 754668850 1132003275 2264006550