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2230212034320 = 243579202957973
BaseRepresentation
bin100000011101000010111…
…111101111111100010000
321220012120022101220020120
4200131002333233330100
5243014433240044240
64424313435510240
7320061506336544
oct40350277577420
97805508356216
102230212034320
1178a911608596
123002915b8380
13132400b5741a
1479d2b211a24
153d02d9b0ad0
hex20742feff10

2230212034320 has 160 divisors (see below), whose sum is σ = 7004743334400. Its totient is φ = 586895542272.

The previous prime is 2230212034273. The next prime is 2230212034357. The reversal of 2230212034320 is 234302120322.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 38440854 + ... + 38498826.

It is an arithmetic number, because the mean of its divisors is an integer number (43779645840).

Almost surely, 22230212034320 is an apocalyptic number.

2230212034320 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 2230212034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502371667200).

2230212034320 is an abundant number, since it is smaller than the sum of its proper divisors (4774531300080).

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

2230212034320 is a wasteful number, since it uses less digits than its factorization.

2230212034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60097 (or 60091 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2230212034320 its reverse (234302120322), we get a palindrome (2464514154642).

The spelling of 2230212034320 in words is "two trillion, two hundred thirty billion, two hundred twelve million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 79 80 120 158 237 240 316 395 474 632 790 948 1185 1264 1580 1896 2029 2370 3160 3792 4058 4740 6087 6320 8116 9480 10145 12174 16232 18960 20290 24348 30435 32464 40580 48696 57973 60870 81160 97392 115946 121740 160291 162320 173919 231892 243480 289865 320582 347838 463784 480873 486960 579730 641164 695676 801455 869595 927568 961746 1159460 1282328 1391352 1602910 1739190 1923492 2318920 2404365 2564656 2782704 3205820 3478380 3846984 4579867 4637840 4808730 6411640 6956760 7693968 9159734 9617460 12823280 13739601 13913520 18319468 19234920 22899335 27479202 36638936 38469840 45798670 54958404 68698005 73277872 91597340 109916808 117627217 137396010 183194680 219833616 235254434 274792020 352881651 366389360 470508868 549584040 588136085 705763302 941017736 1099168080 1176272170 1411526604 1764408255 1882035472 2352544340 2823053208 3528816510 4705088680 5646106416 7057633020 9292550143 9410177360 14115266040 18585100286 27877650429 28230532080 37170200572 46462750715 55755300858 74340401144 92925501430 111510601716 139388252145 148680802288 185851002860 223021203432 278776504290 371702005720 446042406864 557553008580 743404011440 1115106017160 2230212034320