Search a number
-
+
212254411356 = 223213453535067
BaseRepresentation
bin1100010110101101011…
…0010100101001011100
3202021212101010021121200
43011223112110221130
511434144112130411
6241301444355500
721222601504551
oct3055326245134
9667771107550
10212254411356
1182020099899
12351776a5b90
13170280ac260
14a3b7806a28
1557c41eae56
hex316b594a5c

212254411356 has 36 divisors (see below), whose sum is σ = 577803676632. Its totient is φ = 65309049504.

The previous prime is 212254411349. The next prime is 212254411367. The reversal of 212254411356 is 653114452212.

212254411356 is a `hidden beast` number, since 2 + 12 + 254 + 41 + 1 + 356 = 666.

212254411356 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212254411356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 226767066 + ... + 226768001.

Almost surely, 2212254411356 is an apocalyptic number.

212254411356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

212254411356 is an abundant number, since it is smaller than the sum of its proper divisors (365549265276).

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

212254411356 is a wasteful number, since it uses less digits than its factorization.

212254411356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453535090 (or 453535085 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 212254411356 its reverse (653114452212), we get a palindrome (865368863568).

The spelling of 212254411356 in words is "two hundred twelve billion, two hundred fifty-four million, four hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 453535067 907070134 1360605201 1814140268 2721210402 4081815603 5442420804 5895955871 8163631206 11791911742 16327262412 17687867613 23583823484 35375735226 53063602839 70751470452 106127205678 212254411356