Search a number
-
+
214211432220 = 223526317135661
BaseRepresentation
bin1100011101111111111…
…1110000111100011100
3202110220202121020112220
43013133333300330130
512002201111312340
6242223554225340
721322234063002
oct3073777607434
9673822536486
10214211432220
1182934850605
1235622b85250
131727a688a76
14a5216b4a72
15588ae1ded0
hex31dfff0f1c

214211432220 has 48 divisors (see below), whose sum is σ = 599819222688. Its totient is φ = 57120456960.

The previous prime is 214211432153. The next prime is 214211432249. The reversal of 214211432220 is 22234112412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1511190 + ... + 1646850.

It is an arithmetic number, because the mean of its divisors is an integer number (12496233806).

Almost surely, 2214211432220 is an apocalyptic number.

214211432220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211432220 is an abundant number, since it is smaller than the sum of its proper divisors (385607790468).

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

214211432220 is a wasteful number, since it uses less digits than its factorization.

214211432220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161990 (or 161988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214211432220 its reverse (22234112412), we get a palindrome (236445544632).

The spelling of 214211432220 in words is "two hundred fourteen billion, two hundred eleven million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 26317 52634 78951 105268 131585 135661 157902 263170 271322 315804 394755 406983 526340 542644 678305 789510 813966 1356610 1579020 1627932 2034915 2713220 4069830 8139660 3570190537 7140381074 10710571611 14280762148 17850952685 21421143222 35701905370 42842286444 53552858055 71403810740 107105716110 214211432220