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2314150520 = 2351123673413
BaseRepresentation
bin1000100111101111…
…0010001001111000
312222021111000201112
42021323302021320
514214410304040
61021344135452
7111226645343
oct21173621170
95867430645
102314150520
11a883065a0
12547007588
132ab58ac46
1417d4b345a
15d8269365
hex89ef2278

2314150520 has 128 divisors (see below), whose sum is σ = 6017379840. Its totient is φ = 792675840.

The previous prime is 2314150519. The next prime is 2314150547. The reversal of 2314150520 is 250514132.

2314150520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 676334 + ... + 679746.

It is an arithmetic number, because the mean of its divisors is an integer number (47010780).

Almost surely, 22314150520 is an apocalyptic number.

2314150520 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 2314150520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008689920).

2314150520 is an abundant number, since it is smaller than the sum of its proper divisors (3703229320).

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

2314150520 is a wasteful number, since it uses less digits than its factorization.

2314150520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2314150520 is about 48105.6183828875. The cubic root of 2314150520 is about 1322.7076575924.

Adding to 2314150520 its reverse (250514132), we get a palindrome (2564664652).

The spelling of 2314150520 in words is "two billion, three hundred fourteen million, one hundred fifty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 67 88 92 110 115 134 184 220 230 253 268 335 440 460 506 536 670 737 920 1012 1265 1340 1474 1541 2024 2530 2680 2948 3082 3413 3685 5060 5896 6164 6826 7370 7705 10120 12328 13652 14740 15410 16951 17065 27304 29480 30820 33902 34130 37543 61640 67804 68260 75086 78499 84755 135608 136520 150172 156998 169510 187715 228671 300344 313996 339020 375430 392495 457342 627992 678040 750860 784990 863489 914684 1143355 1501720 1569980 1726978 1829368 2286710 2515381 3139960 3453956 4317445 4573420 5030762 5259433 6907912 8634890 9146840 10061524 10518866 12576905 17269780 20123048 21037732 25153810 26297165 34539560 42075464 50307620 52594330 57853763 100615240 105188660 115707526 210377320 231415052 289268815 462830104 578537630 1157075260 2314150520