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34222211222243 = 11197921110639241
BaseRepresentation
bin1111100011111111110101…
…01111100100101011100011
311111011121111202000010211112
413301333322233210223203
513441144042033102433
6200441244454533535
710131321203542322
oct761777257445343
9144147452003745
1034222211222243
11a9a4616077940
123a085b13672ab
1316131aa0920b5
148645146120b9
153e52e915b348
hex1f1ffabe4ae3

34222211222243 has 64 divisors (see below), whose sum is σ = 40026229555200. Its totient is φ = 28932295392000.

The previous prime is 34222211222209. The next prime is 34222211222261.

34222211222243 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34222211222243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34222211221243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3703297103 + ... + 3703306343.

It is an arithmetic number, because the mean of its divisors is an integer number (625409836800).

Almost surely, 234222211222243 is an apocalyptic number.

34222211222243 is a deficient number, since it is larger than the sum of its proper divisors (5804018332957).

34222211222243 is a wasteful number, since it uses less digits than its factorization.

34222211222243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624.

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 3422221 and 1222243, that added together give a palindrome (4644464).

The spelling of 34222211222243 in words is "thirty-four trillion, two hundred twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 11 19 79 209 211 869 1063 1501 2321 4009 9241 11693 16511 16669 20197 44099 83977 101651 175579 183359 222167 224293 316711 730039 923747 1595563 1931369 1949851 2467223 3483821 4261567 8030429 9823183 13870741 17551193 17719147 21448361 37047169 46877237 108055013 152578151 154038229 186640477 194910617 336663793 407518859 776031457 1694420519 2053045247 2072691613 2926726351 3703301723 8536346027 14744597683 22799607743 32193989861 39381140647 162190574513 163742637427 433192547117 1801169011697 3111110111113 34222211222243