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2260244382 = 231137472419
BaseRepresentation
bin1000011010111000…
…1001011110011110
312211112001022101220
42012232021132132
514112110310012
61012140514210
7110003521524
oct20656113636
95745038356
102260244382
11a5a938070
12530b4b966
132a0365916
14176280314
15d366c08c
hex86b8979e

2260244382 has 96 divisors (see below), whose sum is σ = 5187127680. Its totient is φ = 650675520.

The previous prime is 2260244381. The next prime is 2260244411. The reversal of 2260244382 is 2834420622.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260244381) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5394169 + ... + 5394587.

It is an arithmetic number, because the mean of its divisors is an integer number (54032580).

Almost surely, 22260244382 is an apocalyptic number.

2260244382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260244382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593563840).

2260244382 is an abundant number, since it is smaller than the sum of its proper divisors (2926883298).

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

2260244382 is a wasteful number, since it uses less digits than its factorization.

2260244382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2260244382 is about 47542.0275335413. The cubic root of 2260244382 is about 1312.3564179985.

It can be divided in two parts, 2260 and 244382, that added together give a palindrome (246642).

The spelling of 2260244382 in words is "two billion, two hundred sixty million, two hundred forty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 37 47 66 74 94 111 141 222 282 407 419 517 814 838 1034 1221 1257 1551 1739 2209 2442 2514 3102 3478 4418 4609 5217 6627 9218 10434 13254 13827 15503 19129 19693 24299 27654 31006 38258 39386 46509 48598 57387 59079 72897 81733 93018 114774 118158 145794 163466 170533 216623 245199 341066 433246 490398 511599 649869 728641 899063 925571 1023198 1299738 1457282 1798126 1851142 2185923 2697189 2776713 4371846 5394378 5553426 8015051 10181281 16030102 20362562 24045153 30543843 34246127 48090306 61087686 68492254 102738381 205476762 376707397 753414794 1130122191 2260244382