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202212230022 = 2321129313730703
BaseRepresentation
bin1011110001010011001…
…0011100001110000110
3201022221111222121120200
42330110302130032012
511303112312330042
6232521153511330
720416002411135
oct2742462341606
9638844877520
10202212230022
1178837594380
1233234572546
13160b774341a
149b03c2391c
1553d77a9c4c
hex2f14c9c386

202212230022 has 192 divisors, whose sum is σ = 524198338560. Its totient is φ = 55705708800.

The previous prime is 202212229981. The next prime is 202212230041. The reversal of 202212230022 is 220032212202.

202212230022 is a `hidden beast` number, since 202 + 212 + 230 + 0 + 22 = 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 = 202212229977 and 202212230004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6570723 + ... + 6601425.

It is an arithmetic number, because the mean of its divisors is an integer number (2730199680).

Almost surely, 2202212230022 is an apocalyptic number.

202212230022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 202212230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262099169280).

202212230022 is an abundant number, since it is smaller than the sum of its proper divisors (321986108538).

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

202212230022 is a wasteful number, since it uses less digits than its factorization.

202212230022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30819 (or 30816 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202212230022 its reverse (220032212202), we get a palindrome (422244442224).

It can be divided in two parts, 202212 and 230022, that added together give a palindrome (432234).

The spelling of 202212230022 in words is "two hundred two billion, two hundred twelve million, two hundred thirty thousand, twenty-two".