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223233142114432 = 2723137553477919
BaseRepresentation
bin110010110000011110000100…
…001000110100100010000000
31002021101212202111101101020101
4302300132010020310202000
5213224422433340130212
62110435520103452144
765010030236020042
oct6260360410644200
91067355674341211
10223233142114432
116514670a05837a
12210540b3757054
139773a44738b78
143d1a782701a92
151ac1c164ce157
hexcb0784234880

223233142114432 has 64 divisors (see below), whose sum is σ = 467445312115200. Its totient is φ = 105984379561984.

The previous prime is 223233142114391. The next prime is 223233142114453. The reversal of 223233142114432 is 234411241332322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2232331421144323 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223233142114391 and 223233142114400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276335632 + ... + 277142287.

It is an arithmetic number, because the mean of its divisors is an integer number (7303833001800).

Almost surely, 2223233142114432 is an apocalyptic number.

It is an amenable number.

223233142114432 is an abundant number, since it is smaller than the sum of its proper divisors (244212170000768).

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

223233142114432 is a wasteful number, since it uses less digits than its factorization.

223233142114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553478093 (or 553478081 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 223233142114432 its reverse (234411241332322), we get a palindrome (457644383446754).

The spelling of 223233142114432 in words is "two hundred twenty-three trillion, two hundred thirty-three billion, one hundred forty-two million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 137 184 274 368 548 736 1096 1472 2192 2944 3151 4384 6302 8768 12604 17536 25208 50416 100832 201664 403328 553477919 1106955838 2213911676 4427823352 8855646704 12729992137 17711293408 25459984274 35422586816 50919968548 70845173632 75826474903 101839937096 151652949806 203679874192 303305899612 407359748384 606611799224 814719496768 1213223598448 1629438993536 1744008922769 2426447196896 3488017845538 4852894393792 6976035691076 9705788787584 13952071382152 27904142764304 55808285528608 111616571057216 223233142114432