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421202322 = 23329277971
BaseRepresentation
bin11001000110110…
…000100110010010
31002100120021222000
4121012300212102
51330311433242
6105443454430
713303106052
oct3106604622
91070507860
10421202322
111a68375a2
12b9087416
1369356058
143dd23562
1526ea0a4c
hex191b0992

421202322 has 64 divisors (see below), whose sum is σ = 972777600. Its totient is φ = 134930880.

The previous prime is 421202321. The next prime is 421202333. The reversal of 421202322 is 223202124.

It is a super-2 number, since 2×4212023222 = 354822792116383368, which contains 22 as substring.

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 = 421202295 and 421202304.

It is not an unprimeable number, because it can be changed into a prime (421202321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433297 + ... + 434267.

It is an arithmetic number, because the mean of its divisors is an integer number (15199650).

Almost surely, 2421202322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486388800).

421202322 is an abundant number, since it is smaller than the sum of its proper divisors (551575278).

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

421202322 is a wasteful number, since it uses less digits than its factorization.

421202322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

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

The square root of 421202322 is about 20523.2142219488. The cubic root of 421202322 is about 749.6011639440.

Adding to 421202322 its reverse (223202124), we get a palindrome (644404446).

The spelling of 421202322 in words is "four hundred twenty-one million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 277 522 554 783 831 971 1566 1662 1942 2493 2913 4986 5826 7479 8033 8739 14958 16066 17478 24099 26217 28159 48198 52434 56318 72297 84477 144594 168954 216891 253431 268967 433782 506862 537934 760293 806901 1520586 1613802 2420703 4841406 7262109 7800043 14524218 15600086 23400129 46800258 70200387 140400774 210601161 421202322