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2322755680 = 255711318353
BaseRepresentation
bin1000101001110010…
…0111000001100000
312222212200012210011
42022130213001200
514224111140210
61022252414304
7111363045310
oct21234470140
95885605704
102322755680
11a921537a3
12549a77394
132b02b195b
141806b3440
15d8db8d8a
hex8a727060

2322755680 has 96 divisors (see below), whose sum is σ = 6327284544. Its totient is φ = 789282816.

The previous prime is 2322755627. The next prime is 2322755711. The reversal of 2322755680 is 865572232.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117384 + ... + 135736.

It is an arithmetic number, because the mean of its divisors is an integer number (65909214).

Almost surely, 22322755680 is an apocalyptic number.

2322755680 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 2322755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163642272).

2322755680 is an abundant number, since it is smaller than the sum of its proper divisors (4004528864).

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

2322755680 is a wasteful number, since it uses less digits than its factorization.

2322755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18488 (or 18480 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2322755680 is about 48194.9756717440. The cubic root of 2322755680 is about 1324.3451241111.

The spelling of 2322755680 in words is "two billion, three hundred twenty-two million, seven hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 3164 3616 3955 4520 6328 7910 9040 12656 15820 18080 18353 25312 31640 36706 63280 73412 91765 126560 128471 146824 183530 256942 293648 367060 513884 587296 642355 734120 1027768 1284710 1468240 2055536 2073889 2569420 2936480 4111072 4147778 5138840 8295556 10277680 10369445 14517223 16591112 20555360 20738890 29034446 33182224 41477780 58068892 66364448 72586115 82955560 116137784 145172230 165911120 232275568 290344460 331822240 464551136 580688920 1161377840 2322755680