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2264763630 = 2351712233631
BaseRepresentation
bin1000011011111101…
…1000110011101110
312211211112220122110
42012333120303232
514114234414010
61012421424450
7110060113263
oct20677306356
95754486573
102264763630
11a62444488
1253256b126
132a128892c
14176ad926a
15d3c61120
hex86fd8cee

2264763630 has 64 divisors (see below), whose sum is σ = 5761456128. Its totient is φ = 567790080.

The previous prime is 2264763629. The next prime is 2264763649. The reversal of 2264763630 is 363674622.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621915 + ... + 625545.

It is an arithmetic number, because the mean of its divisors is an integer number (90022752).

Almost surely, 22264763630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264763630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880728064).

2264763630 is an abundant number, since it is smaller than the sum of its proper divisors (3496692498).

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

2264763630 is a wasteful number, since it uses less digits than its factorization.

2264763630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881.

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 2264763630 is about 47589.5327777023. The cubic root of 2264763630 is about 1313.2304998346.

The spelling of 2264763630 in words is "two billion, two hundred sixty-four million, seven hundred sixty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 1223 2446 3631 3669 6115 7262 7338 10893 12230 18155 18345 20791 21786 36310 36690 41582 54465 61727 62373 103955 108930 123454 124746 185181 207910 308635 311865 370362 617270 623730 925905 1851810 4440713 8881426 13322139 22203565 26644278 44407130 66610695 75492121 133221390 150984242 226476363 377460605 452952726 754921210 1132381815 2264763630