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2210012211200 = 2115249187911
BaseRepresentation
bin100000001010001110111…
…111100010100000000000
321211021102112212120012112
4200022032333202200000
5242202101111224300
64411133211314452
7315445106563133
oct40121677424000
97737375776175
102210012211200
117822963074a2
122b839474ba28
13130531c57b71
1478d7259221a
153c74a422e35
hex2028efe2800

2210012211200 has 144 divisors (see below), whose sum is σ = 5490714509280. Its totient is φ = 882194432000.

The previous prime is 2210012211191. The next prime is 2210012211203. The reversal of 2210012211200 is 21122100122.

It is a super-2 number, since 2×22100122112002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2210012211203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25095245 + ... + 25183155.

It is an arithmetic number, because the mean of its divisors is an integer number (38129961870).

Almost surely, 22210012211200 is an apocalyptic number.

2210012211200 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 2210012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745357254640).

2210012211200 is an abundant number, since it is smaller than the sum of its proper divisors (3280702298080).

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

2210012211200 is an equidigital number, since it uses as much as digits as its factorization.

2210012211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88434 (or 88409 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2210012211200 its reverse (21122100122), we get a palindrome (2231134311322).

The spelling of 2210012211200 in words is "two trillion, two hundred ten billion, twelve million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 491 512 640 800 982 1024 1280 1600 1964 2048 2455 2560 3200 3928 4910 5120 6400 7856 9820 10240 12275 12800 15712 19640 24550 25600 31424 39280 49100 51200 62848 78560 87911 98200 125696 157120 175822 196400 251392 314240 351644 392800 439555 502784 628480 703288 785600 879110 1005568 1256960 1406576 1571200 1758220 2197775 2513920 2813152 3142400 3516440 4395550 5027840 5626304 6284800 7032880 8791100 11252608 12569600 14065760 17582200 22505216 25139200 28131520 35164400 43164301 45010432 56263040 70328800 86328602 90020864 112526080 140657600 172657204 180041728 215821505 225052160 281315200 345314408 431643010 450104320 562630400 690628816 863286020 900208640 1079107525 1125260800 1381257632 1726572040 2158215050 2250521600 2762515264 3453144080 4316430100 4501043200 5525030528 6906288160 8632860200 11050061056 13812576320 17265720400 22100122112 27625152640 34531440800 44200244224 55250305280 69062881600 88400488448 110500610560 138125763200 221001221120 276251526400 442002442240 552503052800 1105006105600 2210012211200