Search a number
-
+
200440213222221 = 33723215287131143
BaseRepresentation
bin101101100100110010011111…
…101101010011001101001101
3222021200220020002110202222000
4231210302133231103031031
5202233003024041102341
61550144543542342513
760135220224053460
oct5544623755231515
9867626202422860
10200440213222221
11589592429977a5
121a5927a5a2aa39
1387ac57abb616b
14376d5028192d7
151828d9b03b8b6
hexb64c9fb5334d

200440213222221 has 96 divisors (see below), whose sum is σ = 354792319365120. Its totient is φ = 109549381572576.

The previous prime is 200440213222213. The next prime is 200440213222247. The reversal of 200440213222221 is 122222312044002.

200440213222221 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 4 + 0 + 213 + 222 + 221 = 666.

It is not a de Polignac number, because 200440213222221 - 23 = 200440213222213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200440213222201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1528343976 + ... + 1528475118.

It is an arithmetic number, because the mean of its divisors is an integer number (3695753326720).

Almost surely, 2200440213222221 is an apocalyptic number.

200440213222221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200440213222221 is a deficient number, since it is larger than the sum of its proper divisors (154352106142899).

200440213222221 is a wasteful number, since it uses less digits than its factorization.

200440213222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146492 (or 146463 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 200440213222221 its reverse (122222312044002), we get a palindrome (322662525266223).

The spelling of 200440213222221 in words is "two hundred trillion, four hundred forty billion, two hundred thirteen million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 529 621 1449 1587 3703 4347 4761 11109 14283 15287 33327 45861 99981 107009 131143 137583 321027 351601 393429 412749 918001 963081 1054803 1180287 2461207 2754003 2889243 3016289 3164409 3540861 7383621 8086823 8262009 9048867 9493227 21114023 22150863 24260469 24786027 27146601 56607761 63342069 66452589 69374647 72781407 81439803 169823283 190026207 208123941 218344221 485622529 509469849 570078621 624371823 1456867587 1528409547 1873115469 2004783041 4370602761 6014349123 13111808283 14033481287 18043047369 42100443861 46110009943 54129142107 126301331583 138330029829 322770069601 378903994749 414990089487 968310208803 1060530228689 1244970268461 2904930626409 3181590686067 7423711600823 8714791879227 9544772058201 22271134802469 28634316174603 66813404407407 200440213222221