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224344152102364 = 227192355921327869
BaseRepresentation
bin110011000000101000110001…
…011111100101010111011100
31002102100002110200200111001221
4303000220301133211113130
5213401123310414233424
62113050140343343124
765153221141056550
oct6300506137452734
91072302420614057
10224344152102364
1165534903249248
12211b3496751aa4
1398247415279a8
143d5845a119860
151ae0a8d8439e4
hexcc0a317e55dc

224344152102364 has 96 divisors (see below), whose sum is σ = 492848728243200. Its totient is φ = 87124966917120.

The previous prime is 224344152102311. The next prime is 224344152102377. The reversal of 224344152102364 is 463201251443422.

224344152102364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2243441521023642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224344152102364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684085422 + ... + 684413290.

It is an arithmetic number, because the mean of its divisors is an integer number (5133840919200).

Almost surely, 2224344152102364 is an apocalyptic number.

It is an amenable number.

224344152102364 is an abundant number, since it is smaller than the sum of its proper divisors (268504576140836).

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

224344152102364 is a wasteful number, since it uses less digits than its factorization.

224344152102364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383843 (or 383841 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 43.

The spelling of 224344152102364 in words is "two hundred twenty-four trillion, three hundred forty-four billion, one hundred fifty-two million, one hundred two thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 437 532 644 874 1748 3059 6118 12236 55921 111842 223684 327869 391447 655738 782894 1062499 1286183 1311476 1565788 2124998 2295083 2572366 4249996 4590166 5144732 6229511 7437493 7540987 9003281 9180332 12459022 14874986 15081974 18006562 24437477 24918044 29749972 30163948 36013124 43606577 48874954 52786909 87213154 97749908 105573818 143278753 171062339 174426308 211147636 286557506 342124678 573115012 684249356 1002951271 2005902542 4011805084 18334762349 36669524698 73339049396 128343336443 256686672886 348360484631 421699534027 513373345772 696720969262 843399068054 1393441938524 1686798136108 2438523392417 2951896738189 4877046784834 5903793476378 8012291146513 9754093569668 11807586952756 16024582293026 32049164586052 56086038025591 112172076051182 224344152102364