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2234964750 = 235329211487
BaseRepresentation
bin1000010100110110…
…1101101100001110
312202202110222021020
42011031231230032
514034122333000
61005435015010
7106245613134
oct20515555416
95682428236
102234964750
11a47641107
1252459a466
13298054365
14172b7d754
15d1326ba0
hex8536db0e

2234964750 has 128 divisors (see below), whose sum is σ = 5810088960. Its totient is φ = 571536000.

The previous prime is 2234964731. The next prime is 2234964751. The reversal of 2234964750 is 574694322.

2234964750 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234964751) 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, 4589007 + ... + 4589493.

It is an arithmetic number, because the mean of its divisors is an integer number (45391320).

Almost surely, 22234964750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234964750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905044480).

2234964750 is an abundant number, since it is smaller than the sum of its proper divisors (3575124210).

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

2234964750 is a wasteful number, since it uses less digits than its factorization.

2234964750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 2234964750 is about 47275.4138004100. The cubic root of 2234964750 is about 1307.4453935154.

The spelling of 2234964750 in words is "two billion, two hundred thirty-four million, nine hundred sixty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 211 250 290 375 422 435 487 633 725 750 870 974 1055 1266 1450 1461 2110 2175 2435 2922 3165 3625 4350 4870 5275 6119 6330 7250 7305 10550 10875 12175 12238 14123 14610 15825 18357 21750 24350 26375 28246 30595 31650 36525 36714 42369 52750 60875 61190 70615 73050 79125 84738 91785 102757 121750 141230 152975 158250 182625 183570 205514 211845 305950 308271 353075 365250 423690 458925 513785 616542 706150 764875 917850 1027570 1059225 1529750 1541355 1765375 2118450 2294625 2568925 2979953 3082710 3530750 4589250 5137850 5296125 5959906 7706775 8939859 10592250 12844625 14899765 15413550 17879718 25689250 29799530 38533875 44699295 74498825 77067750 89398590 148997650 223496475 372494125 446992950 744988250 1117482375 2234964750