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3222230000 = 24541122663
BaseRepresentation
bin1100000000001111…
…0101001111110000
322022120012020120212
43000003311033300
523044342330000
61251423323252
7142564334363
oct30003651760
98276166525
103222230000
111403957100
1275b150528
133c4752c92
14227d340da
1513cd3ec35
hexc00f53f0

3222230000 has 150 divisors (see below), whose sum is σ = 8578247832. Its totient is φ = 1171280000.

The previous prime is 3222229979. The next prime is 3222230003. The reversal of 3222230000 is 322223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222230003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1208669 + ... + 1211331.

Almost surely, 23222230000 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 3222230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289123916).

3222230000 is an abundant number, since it is smaller than the sum of its proper divisors (5356017832).

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

3222230000 is a wasteful number, since it uses less digits than its factorization.

3222230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3222230000 is about 56764.6897287389. The cubic root of 3222230000 is about 1477.0170623005.

Adding to 3222230000 its reverse (322223), we get a palindrome (3222552223).

3222230000 divided by its reverse (322223) gives a 4-th power (10000 = 104).

It can be divided in two parts, 322 and 2230000, that added together give a palindrome (2230322).

The spelling of 3222230000 in words is "three billion, two hundred twenty-two million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2663 2750 3025 4400 4840 5000 5326 5500 6050 6875 9680 10000 10652 11000 12100 13315 13750 15125 21304 22000 24200 26630 27500 29293 30250 42608 48400 53260 55000 58586 60500 66575 75625 106520 110000 117172 121000 133150 146465 151250 213040 234344 242000 266300 292930 302500 322223 332875 468688 532600 585860 605000 644446 665750 732325 1065200 1171720 1210000 1288892 1331500 1464650 1611115 1664375 2343440 2577784 2663000 2929300 3222230 3328750 3661625 5155568 5326000 5858600 6444460 6657500 7323250 8055575 11717200 12888920 13315000 14646500 16111150 18308125 25777840 26630000 29293000 32222300 36616250 40277875 58586000 64444600 73232500 80555750 128889200 146465000 161111500 201389375 292930000 322223000 402778750 644446000 805557500 1611115000 3222230000