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9216215040 = 21135300007
BaseRepresentation
bin10001001010101010…
…00100100000000000
3212210021221020021210
420211111010200000
5122333322340130
64122303250120
7444246351414
oct104525044000
925707836253
109216215040
1139aa34984a
1219525a9940
13b3b4c3ca6
14636018d44
1538e18a5b0
hex225544800

9216215040 has 96 divisors (see below), whose sum is σ = 29484786240. Its totient is φ = 2457649152.

The previous prime is 9216215017. The next prime is 9216215059. The reversal of 9216215040 is 405126129.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×92162150404 (a number of 41 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9216214989 and 9216215007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119284 + ... + 180723.

It is an arithmetic number, because the mean of its divisors is an integer number (307133190).

Almost surely, 29216215040 is an apocalyptic number.

It is an amenable number.

9216215040 is an abundant number, since it is smaller than the sum of its proper divisors (20268571200).

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

9216215040 is a wasteful number, since it uses less digits than its factorization.

9216215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300037 (or 300017 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 9216215040 is about 96001.1199934667. The cubic root of 9216215040 is about 2096.6094220756.

The spelling of 9216215040 in words is "nine billion, two hundred sixteen million, two hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 300007 600014 900021 1200028 1500035 1800042 2400056 3000070 3600084 4500105 4800112 6000140 7200168 9000210 9600224 12000280 14400336 18000420 19200448 24000560 28800672 36000840 38400896 48001120 57601344 72001680 76801792 96002240 115202688 144003360 153603584 192004480 230405376 288006720 307207168 384008960 460810752 576013440 614414336 768017920 921621504 1152026880 1536035840 1843243008 2304053760 3072071680 4608107520 9216215040