Search a number
-
+
214232201100 = 223252238035779
BaseRepresentation
bin1100011110000100111…
…0111111011110001100
3202110222012200102002200
43013201032333132030
512002221420413400
6242230015321500
721322605443451
oct3074116773614
9673865612080
10214232201100
1182945546575
1235629b20290
1317281a7b148
14a52435d828
15588cb72b00
hex31e13bf78c

214232201100 has 54 divisors (see below), whose sum is σ = 671498935380. Its totient is φ = 57128586720.

The previous prime is 214232201089. The next prime is 214232201129. The reversal of 214232201100 is 1102232412.

It is a happy number.

214232201100 is a `hidden beast` number, since 21 + 423 + 220 + 1 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119016990 + ... + 119018789.

It is an arithmetic number, because the mean of its divisors is an integer number (12435165470).

Almost surely, 2214232201100 is an apocalyptic number.

214232201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214232201100 is an abundant number, since it is smaller than the sum of its proper divisors (457266734280).

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

214232201100 is a wasteful number, since it uses less digits than its factorization.

214232201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238035799 (or 238035789 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 214232201100 its reverse (1102232412), we get a palindrome (215334433512).

The spelling of 214232201100 in words is "two hundred fourteen billion, two hundred thirty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 238035779 476071558 714107337 952143116 1190178895 1428214674 2142322011 2380357790 2856429348 3570536685 4284644022 4760715580 5950894475 7141073370 8569288044 10711610055 11901788950 14282146740 17852683425 21423220110 23803577900 35705366850 42846440220 53558050275 71410733700 107116100550 214232201100