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221434000420 = 22511071700021
BaseRepresentation
bin1100111000111001111…
…1101011010000100100
3210011120010010201111211
43032032133223100210
512111444101003140
6245420403041204
721666224643103
oct3161637532044
9704503121454
10221434000420
1185a007a1a36
1236ab9970204
1317b5bb1b369
14aa08a0a03a
155b6004e2ea
hex338e7eb424

221434000420 has 12 divisors (see below), whose sum is σ = 465011400924. Its totient is φ = 88573600160.

The previous prime is 221434000399. The next prime is 221434000493. The reversal of 221434000420 is 24000434122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48572633664 + 172861366756 = 220392^2 + 415766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221434000391 and 221434000400.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5535849991 + ... + 5535850030.

It is an arithmetic number, because the mean of its divisors is an integer number (38750950077).

Almost surely, 2221434000420 is an apocalyptic number.

221434000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221434000420 is an abundant number, since it is smaller than the sum of its proper divisors (243577400504).

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

221434000420 is a wasteful number, since it uses less digits than its factorization.

221434000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071700030 (or 11071700028 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 221434000420 its reverse (24000434122), we get a palindrome (245434434542).

The spelling of 221434000420 in words is "two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 11071700021 22143400042 44286800084 55358500105 110717000210 221434000420