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221011200200 = 23527819119273
BaseRepresentation
bin1100110111010101001…
…0110100100011001000
3210010110122120020122102
43031311102310203020
512110112331401300
6245310421012532
721652602130310
oct3156522644310
9703418506572
10221011200200
118580407396a
1236a00254148
1317ac2355c0b
14a9a87cc440
155b37d850d5
hex33754b48c8

221011200200 has 96 divisors (see below), whose sum is σ = 587360501760. Its totient is φ = 75762086400.

The previous prime is 221011200181. The next prime is 221011200209. The reversal of 221011200200 is 2002110122.

It is a happy number.

221011200200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2210112002002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221011200209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11457764 + ... + 11477036.

It is an arithmetic number, because the mean of its divisors is an integer number (6118338560).

Almost surely, 2221011200200 is an apocalyptic number.

221011200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221011200200 is an abundant number, since it is smaller than the sum of its proper divisors (366349301560).

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

221011200200 is a wasteful number, since it uses less digits than its factorization.

221011200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27487 (or 27478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221011200200 its reverse (2002110122), we get a palindrome (223013310322).

The spelling of 221011200200 in words is "two hundred twenty-one billion, eleven million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8191 16382 19273 32764 38546 40955 57337 65528 77092 81910 96365 114674 134911 154184 163820 192730 204775 229348 269822 286685 327640 385460 409550 458696 481825 539644 573370 674555 770920 819100 963650 1079288 1146740 1349110 1433425 1638200 1927300 2293480 2698220 2866850 3372775 3854600 5396440 5733700 6745550 11467400 13491100 26982200 157865143 315730286 631460572 789325715 1105056001 1262921144 1578651430 2210112002 3157302860 3946628575 4420224004 5525280005 6314605720 7893257150 8840448008 11050560010 15786514300 22101120020 27626400025 31573028600 44202240040 55252800050 110505600100 221011200200