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4214202320 = 245371423717
BaseRepresentation
bin1111101100101111…
…1001111111010000
3101212200202122210102
43323023321333100
532112313433240
61534100551532
7206301062066
oct37313717720
911780678712
104214202320
111872897639
129973b25a8
1352210c253
142bd992036
15199e87815
hexfb2f9fd0

4214202320 has 40 divisors (see below), whose sum is σ = 10062838824. Its totient is φ = 1640120832.

The previous prime is 4214202281. The next prime is 4214202359. The reversal of 4214202320 is 232024124.

It is an interprime number because it is at equal distance from previous prime (4214202281) and next prime (4214202359).

It can be written as a sum of positive squares in 4 ways, for example, as 917605264 + 3296597056 = 30292^2 + 57416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4214202292 and 4214202301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 708899 + ... + 714818.

Almost surely, 24214202320 is an apocalyptic number.

4214202320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214202320 is an abundant number, since it is smaller than the sum of its proper divisors (5848636504).

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

4214202320 is a wasteful number, since it uses less digits than its factorization.

4214202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423767 (or 1423761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4214202320 is about 64916.8877873855. The cubic root of 4214202320 is about 1615.2452055422.

Adding to 4214202320 its reverse (232024124), we get a palindrome (4446226444).

The spelling of 4214202320 in words is "four billion, two hundred fourteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 1423717 2847434 5694868 7118585 11389736 14237170 22779472 28474340 52677529 56948680 105355058 113897360 210710116 263387645 421420232 526775290 842840464 1053550580 2107101160 4214202320