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200120022 = 232174367227
BaseRepresentation
bin10111110110110…
…01011011010110
3111221120011001200
423323121123112
5402212320042
631505133330
74646664204
oct1373313326
9457504050
10200120022
11a2a65153
125702a246
13325c9b1b
141c814074
151287ec4c
hexbed96d6

200120022 has 96 divisors (see below), whose sum is σ = 478887552. Its totient is φ = 60141312.

The previous prime is 200120017. The next prime is 200120029. The reversal of 200120022 is 220021002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200119986 and 200120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 881473 + ... + 881699.

It is an arithmetic number, because the mean of its divisors is an integer number (4988412).

Almost surely, 2200120022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239443776).

200120022 is an abundant number, since it is smaller than the sum of its proper divisors (278767530).

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

200120022 is a wasteful number, since it uses less digits than its factorization.

200120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200120022 is about 14146.3784057970. The cubic root of 200120022 is about 584.9205064020.

Adding to 200120022 its reverse (220021002), we get a palindrome (420141024).

The spelling of 200120022 in words is "two hundred million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 67 86 102 129 134 153 201 227 258 306 387 402 454 603 681 731 774 1139 1206 1362 1462 2043 2193 2278 2881 3417 3859 4086 4386 5762 6579 6834 7718 8643 9761 10251 11577 13158 15209 17286 19522 20502 23154 25929 29283 30418 34731 45627 48977 51858 58566 69462 87849 91254 97954 136881 146931 165937 175698 258553 273762 293862 331874 440793 497811 517106 653987 775659 881586 995622 1307974 1493433 1551318 1961961 2326977 2986866 3923922 4653954 5885883 11117779 11771766 22235558 33353337 66706674 100060011 200120022