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2234925624 = 233532237879
BaseRepresentation
bin1000010100110110…
…0100001000111000
312202202101222121010
42011031210020320
514034120104444
61005434113520
7106245361101
oct20515441070
95682358533
102234925624
11a47614778
1252457b8a0
1329803c5c9
14172b6d3a8
15d131a2b9
hex85364238

2234925624 has 64 divisors (see below), whose sum is σ = 5718988800. Its totient is φ = 727549056.

The previous prime is 2234925613. The next prime is 2234925647. The reversal of 2234925624 is 4265294322.

It is a Cunningham number, because it is equal to 472752-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279717 + ... + 287595.

It is an arithmetic number, because the mean of its divisors is an integer number (89359200).

Almost surely, 22234925624 is an apocalyptic number.

2234925624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234925624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859494400).

2234925624 is an abundant number, since it is smaller than the sum of its proper divisors (3484063176).

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

2234925624 is a wasteful number, since it uses less digits than its factorization.

2234925624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8160 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 2234925624 is about 47274.9999894236. Note that the first 4 decimals coincide. The cubic root of 2234925624 is about 1307.4377639533.

The spelling of 2234925624 in words is "two billion, two hundred thirty-four million, nine hundred twenty-five thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 223 318 424 446 636 669 892 1272 1338 1784 2676 5352 7879 11819 15758 23637 23638 31516 35457 47274 47276 63032 70914 94548 94552 141828 189096 283656 417587 835174 1252761 1670348 1757017 2505522 3340696 3514034 5011044 5271051 7028068 10022088 10542102 14056136 21084204 42168408 93121901 186243802 279365703 372487604 558731406 744975208 1117462812 2234925624