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2314209520 = 2457311091223
BaseRepresentation
bin1000100111110000…
…0000100011110000
312222021121000122201
42021330000203300
514214414201040
61021345312544
7111230312350
oct21174004360
95867530581
102314209520
11a88346957
12547035754
132ab5aba5c
1417d4cab60
15d827ba9a
hex89f008f0

2314209520 has 160 divisors (see below), whose sum is σ = 6411018240. Its totient is φ = 760181760.

The previous prime is 2314209517. The next prime is 2314209529. The reversal of 2314209520 is 259024132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314209529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891629 + ... + 1892851.

It is an arithmetic number, because the mean of its divisors is an integer number (40068864).

Almost surely, 22314209520 is an apocalyptic number.

2314209520 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 2314209520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205509120).

2314209520 is an abundant number, since it is smaller than the sum of its proper divisors (4096808720).

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

2314209520 is a wasteful number, since it uses less digits than its factorization.

2314209520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2314209520 is about 48106.2316129626. The cubic root of 2314209520 is about 1322.7188984470.

The spelling of 2314209520 in words is "two billion, three hundred fourteen million, two hundred nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 109 112 124 140 155 217 218 248 280 310 434 436 496 545 560 620 763 868 872 1085 1090 1223 1240 1526 1736 1744 2170 2180 2446 2480 3052 3379 3472 3815 4340 4360 4892 6104 6115 6758 7630 8561 8680 8720 9784 12208 12230 13516 15260 16895 17122 17360 19568 23653 24460 27032 30520 33790 34244 37913 42805 47306 48920 54064 61040 67580 68488 75826 85610 94612 97840 118265 133307 135160 136976 151652 171220 189224 189565 236530 265391 266614 270320 303304 342440 378448 379130 473060 530782 533228 606608 666535 684880 758260 933149 946120 1061564 1066456 1326955 1333070 1516520 1866298 1892240 2123128 2132912 2653910 2666140 3033040 3732596 4132517 4246256 4665745 5307820 5332280 7465192 8265034 9331490 10615640 10664560 14930384 16530068 18662980 20662585 21231280 28927619 33060136 37325960 41325170 57855238 66120272 74651920 82650340 115710476 144638095 165300680 231420952 289276190 330601360 462841904 578552380 1157104760 2314209520