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2318064420 = 2235715136551
BaseRepresentation
bin1000101000101010…
…1101101100100100
312222112211212120210
42022022231230210
514221411030140
61022004055420
7111305136210
oct21212555444
95875755523
102318064420
11a8a53a121
12548394570
132ac32b569
1417dc11940
15d878dd80
hex8a2adb24

2318064420 has 96 divisors (see below), whose sum is σ = 7467134976. Its totient is φ = 526320000.

The previous prime is 2318064389. The next prime is 2318064443. The reversal of 2318064420 is 244608132.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45145 + ... + 81695.

It is an arithmetic number, because the mean of its divisors is an integer number (77782656).

Almost surely, 22318064420 is an apocalyptic number.

2318064420 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 2318064420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3733567488).

2318064420 is an abundant number, since it is smaller than the sum of its proper divisors (5149070556).

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

2318064420 is a wasteful number, since it uses less digits than its factorization.

2318064420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36721 (or 36719 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2318064420 is about 48146.2814763508. The cubic root of 2318064420 is about 1323.4529317399.

The spelling of 2318064420 in words is "two billion, three hundred eighteen million, sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5285 6342 9060 10570 12684 15855 21140 31710 36551 63420 73102 109653 146204 182755 219306 255857 365510 438612 511714 548265 731020 767571 1023428 1096530 1279285 1535142 2193060 2558570 3070284 3837855 5117140 5519201 7675710 11038402 15351420 16557603 22076804 27596005 33115206 38634407 55192010 66230412 77268814 82788015 110384020 115903221 154537628 165576030 193172035 231806442 331152060 386344070 463612884 579516105 772688140 1159032210 2318064420