Search a number
-
+
202121211222 = 23372521146617
BaseRepresentation
bin1011110000111101011…
…1001110110101010110
3201022201011201101021000
42330033113032311112
511302421012224342
6232504143004130
720413515643200
oct2741727166526
9638634641230
10202121211222
11787a0177627
1233209b99646
13160a1925848
149ad5acd770
1553ce7cb44c
hex2f0f5ced56

202121211222 has 96 divisors (see below), whose sum is σ = 523496636640. Its totient is φ = 57637681920.

The previous prime is 202121211217. The next prime is 202121211223. The reversal of 202121211222 is 222112121202.

It is a happy number.

202121211222 is a `hidden beast` number, since 20 + 212 + 1 + 211 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202121211195 and 202121211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121211223) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1305258 + ... + 1451874.

It is an arithmetic number, because the mean of its divisors is an integer number (5453089965).

Almost surely, 2202121211222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121211222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261748318320).

202121211222 is an abundant number, since it is smaller than the sum of its proper divisors (321375425418).

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

202121211222 is a wasteful number, since it uses less digits than its factorization.

202121211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147163 (or 147150 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202121211222 its reverse (222112121202), we get a palindrome (424233332424).

The spelling of 202121211222 in words is "two hundred two billion, one hundred twenty-one million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 521 882 1042 1323 1563 2646 3126 3647 4689 7294 9378 10941 14067 21882 25529 28134 32823 51058 65646 76587 98469 146617 153174 196938 229761 293234 439851 459522 689283 879702 1026319 1319553 1378566 2052638 2639106 3078957 3958659 6157914 7184233 7917318 9236871 14368466 18473742 21552699 27710613 43105398 55421226 64658097 76387457 129316194 152774914 193974291 229162371 387948582 458324742 534712199 687487113 1069424398 1374974226 1604136597 2062461339 3208273194 3742985393 4124922678 4812409791 7485970786 9624819582 11228956179 14437229373 22457912358 28874458746 33686868537 67373737074 101060605611 202121211222