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414102223220 = 22572843150119
BaseRepresentation
bin1100000011010100110…
…10100111100101110100
31110120212111101112110112
412001222122213211310
523241040132120340
6514122543442152
741626560551300
oct6015232474564
91416774345415
10414102223220
1114a68aa00434
1268309bb6358
133008518b91a
1416085088d00
15ab899c0065
hex606a6a7974

414102223220 has 72 divisors (see below), whose sum is σ = 1011732744960. Its totient is φ = 141958232640.

The previous prime is 414102223159. The next prime is 414102223243. The reversal of 414102223220 is 22322201414.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8237321 + ... + 8287439.

It is an arithmetic number, because the mean of its divisors is an integer number (14051843680).

Almost surely, 2414102223220 is an apocalyptic number.

It is an amenable number.

414102223220 is an abundant number, since it is smaller than the sum of its proper divisors (597630521740).

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

414102223220 is a wasteful number, since it uses less digits than its factorization.

414102223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58573 (or 58564 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 414102223220 its reverse (22322201414), we get a palindrome (436424424634).

The spelling of 414102223220 in words is "four hundred fourteen billion, one hundred two million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 8431 16862 33724 42155 50119 59017 84310 100238 118034 168620 200476 236068 250595 295085 350833 413119 501190 590170 701666 826238 1002380 1180340 1403332 1652476 1754165 2065595 2455831 3508330 4131190 4911662 7016660 8262380 9823324 12279155 24558310 49116620 422553289 845106578 1690213156 2112766445 2957873023 4225532890 5915746046 8451065780 11831492092 14789365115 20705111161 29578730230 41410222322 59157460460 82820444644 103525555805 207051111610 414102223220