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2314622440 = 23513311391033
BaseRepresentation
bin1000100111110110…
…0101010111101000
312222022101000002001
42021331211113220
514220020404230
61021402220344
7111233652244
oct21175452750
95868330061
102314622440
11a885a9109
125471b46b4
132ab6c49a0
1417d597424
15d830e0ca
hex89f655e8

2314622440 has 128 divisors (see below), whose sum is σ = 5836723200. Its totient is φ = 820316160.

The previous prime is 2314622419. The next prime is 2314622449. The reversal of 2314622440 is 442264132.

It is a junction number, because it is equal to n+sod(n) for n = 2314622399 and 2314622408.

It is not an unprimeable number, because it can be changed into a prime (2314622449) 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 31 ways as a sum of consecutive naturals, for example, 2240164 + ... + 2241196.

It is an arithmetic number, because the mean of its divisors is an integer number (45599400).

Almost surely, 22314622440 is an apocalyptic number.

2314622440 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 2314622440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918361600).

2314622440 is an abundant number, since it is smaller than the sum of its proper divisors (3522100760).

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

2314622440 is a wasteful number, since it uses less digits than its factorization.

2314622440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2314622440 is about 48110.5231732102. The cubic root of 2314622440 is about 1322.7975638403.

Adding to 2314622440 its reverse (442264132), we get a palindrome (2756886572).

The spelling of 2314622440 in words is "two billion, three hundred fourteen million, six hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 139 155 248 260 278 310 403 520 556 620 695 806 1033 1112 1240 1390 1612 1807 2015 2066 2780 3224 3614 4030 4132 4309 5165 5560 7228 8060 8264 8618 9035 10330 13429 14456 16120 17236 18070 20660 21545 26858 32023 34472 36140 41320 43090 53716 56017 64046 67145 72280 86180 107432 112034 128092 134290 143587 160115 172360 224068 256184 268580 280085 287174 320230 416299 448136 537160 560170 574348 640460 717935 832598 1120340 1148696 1280920 1435870 1665196 1866631 2081495 2240680 2871740 3330392 3733262 4162990 4451197 5743480 7466524 8325980 8902394 9333155 14933048 16651960 17804788 18666310 22255985 35609576 37332620 44511970 57865561 74665240 89023940 115731122 178047880 231462244 289327805 462924488 578655610 1157311220 2314622440