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2264765140 = 2251131734549
BaseRepresentation
bin1000011011111101…
…1001001011010100
312211211112222201101
42012333121023110
514114234441030
61012421435444
7110060120551
oct20677311324
95754488641
102264765140
11a62445630
1253256bb84
132a1289521
14176ad9a28
15d3c617ca
hex86fd92d4

2264765140 has 96 divisors (see below), whose sum is σ = 5430297600. Its totient is φ = 785894400.

The previous prime is 2264765123. The next prime is 2264765159. The reversal of 2264765140 is 415674622.

It is a super-2 number, since 2×22647651402 = 10258322278718439200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2264765140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495586 + ... + 500134.

It is an arithmetic number, because the mean of its divisors is an integer number (56565600).

Almost surely, 22264765140 is an apocalyptic number.

2264765140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264765140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715148800).

2264765140 is an abundant number, since it is smaller than the sum of its proper divisors (3165532460).

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

2264765140 is a wasteful number, since it uses less digits than its factorization.

2264765140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 2264765140 is about 47589.5486425328. The cubic root of 2264765140 is about 1313.2307916940.

The spelling of 2264765140 in words is "two billion, two hundred sixty-four million, seven hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 146 155 220 292 310 341 365 620 682 730 803 1364 1460 1606 1705 2263 3212 3410 4015 4526 4549 6820 8030 9052 9098 11315 16060 18196 22630 22745 24893 45260 45490 49786 50039 90980 99572 100078 124465 141019 200156 248930 250195 282038 332077 497860 500390 564076 664154 705095 1000780 1328308 1410190 1551209 1660385 2820380 3102418 3320770 3652847 6204836 6641540 7305694 7756045 10294387 14611388 15512090 18264235 20588774 31024180 36528470 41177548 51471935 73056940 102943870 113238257 205887740 226476514 452953028 566191285 1132382570 2264765140