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221022211194 = 23410728574463
BaseRepresentation
bin1100110111010111110…
…0110100110001111010
3210010111102021122220000
43031311330310301322
512110123141224234
6245311453013430
721653064540321
oct3156574646172
9703442248800
10221022211194
118580a304664
1236a03a84276
1317ac470c9b5
14a9aa0570b8
155b38d0c899
hex3375f34c7a

221022211194 has 80 divisors (see below), whose sum is σ = 500169022848. Its totient is φ = 72943633728.

The previous prime is 221022211133. The next prime is 221022211237. The reversal of 221022211194 is 491112220122.

221022211194 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2210222111943 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49521007 + ... + 49525469.

Almost surely, 2221022211194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221022211194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250084511424).

221022211194 is an abundant number, since it is smaller than the sum of its proper divisors (279146811654).

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

221022211194 is a wasteful number, since it uses less digits than its factorization.

221022211194 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 221022211194 in words is "two hundred twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 107 162 214 321 642 963 1926 2857 2889 4463 5714 5778 8571 8667 8926 13389 17142 17334 25713 26778 40167 51426 77139 80334 120501 154278 231417 241002 305699 361503 462834 477541 611398 723006 917097 955082 1432623 1834194 2751291 2865246 4297869 5502582 8253873 8595738 12750791 12893607 16507746 24761619 25501582 25787214 38252373 38680821 49523238 76504746 77361642 114757119 229514238 344271357 688542714 1032814071 1364334637 2065628142 2728669274 4093003911 8186007822 12279011733 24558023466 36837035199 73674070398 110511105597 221022211194