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22503134464 = 28178396163
BaseRepresentation
bin10100111101010010…
…101001010100000000
32011002021121200012121
4110331102221110000
5332041300300324
614200544134024
71424435326006
oct247522512400
964067550177
1022503134464
1195a8483a98
124440307314
1321781639a5
141136910a76
158ba8b55e4
hex53d4a9500

22503134464 has 72 divisors (see below), whose sum is σ = 47625036480. Its totient is φ = 10575372288.

The previous prime is 22503134461. The next prime is 22503134569. The reversal of 22503134464 is 46443130522.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22503134461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3648247 + ... + 3654409.

It is an arithmetic number, because the mean of its divisors is an integer number (661458840).

Almost surely, 222503134464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22503134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23812518240).

22503134464 is an abundant number, since it is smaller than the sum of its proper divisors (25121902016).

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

22503134464 is an equidigital number, since it uses as much as digits as its factorization.

22503134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7035 (or 7021 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 22503134464 its reverse (46443130522), we get a palindrome (68946264986).

The spelling of 22503134464 in words is "twenty-two billion, five hundred three million, one hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 839 1088 1678 2176 3356 4352 6163 6712 12326 13424 14263 24652 26848 28526 49304 53696 57052 98608 104771 107392 114104 197216 209542 214784 228208 394432 419084 456416 788864 838168 912832 1577728 1676336 1825664 3352672 3651328 5170757 6705344 10341514 13410688 20683028 26821376 41366056 82732112 87902869 165464224 175805738 330928448 351611476 661856896 703222952 1323713792 1406445904 2812891808 5625783616 11251567232 22503134464