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420202167 = 37111819057
BaseRepresentation
bin11001000010111…
…100011010110111
31002021200111000020
4121002330122313
51330032432132
6105410220223
713261442130
oct3102743267
91067614006
10420202167
111a6214120
12b8884673
1369095a48
143db42c87
1526d5452c
hex190bc6b7

420202167 has 16 divisors (see below), whose sum is σ = 698518272. Its totient is φ = 218286720.

The previous prime is 420202163. The next prime is 420202169. The reversal of 420202167 is 761202024.

It is not a de Polignac number, because 420202167 - 22 = 420202163 is a prime.

It is a super-2 number, since 2×4202021672 = 353139722302991778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420202163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909298 + ... + 909759.

It is an arithmetic number, because the mean of its divisors is an integer number (43657392).

Almost surely, 2420202167 is an apocalyptic number.

420202167 is a deficient number, since it is larger than the sum of its proper divisors (278316105).

420202167 is a wasteful number, since it uses less digits than its factorization.

420202167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819078.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 420202167 is about 20498.8333082642. The cubic root of 420202167 is about 749.0073784050.

The spelling of 420202167 in words is "four hundred twenty million, two hundred two thousand, one hundred sixty-seven".

Divisors: 1 3 7 11 21 33 77 231 1819057 5457171 12733399 20009627 38200197 60028881 140067389 420202167