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3222372864 = 29323531721
BaseRepresentation
bin1100000000010001…
…1000001000000000
322022120110111120010
43000010120020000
523044411412424
61251430344520
7142565501034
oct30004301000
98276414503
103222372864
111403a44477
1275b1bb140
133c47a3009
14227d701c4
1513cd6c229
hexc0118200

3222372864 has 160 divisors (see below), whose sum is σ = 9132165504. Its totient is φ = 1007452160.

The previous prime is 3222372821. The next prime is 3222372869. The reversal of 3222372864 is 4682732223.

It is not an unprimeable number, because it can be changed into a prime (3222372869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1871524 + ... + 1873244.

Almost surely, 23222372864 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 3222372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566082752).

3222372864 is an abundant number, since it is smaller than the sum of its proper divisors (5909792640).

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

3222372864 is a wasteful number, since it uses less digits than its factorization.

3222372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1802 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 3222372864 is about 56765.9481027138. The cubic root of 3222372864 is about 1477.0388908113.

The spelling of 3222372864 in words is "three billion, two hundred twenty-two million, three hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 64 69 92 96 106 128 138 159 184 192 212 256 276 318 368 384 424 512 552 636 736 768 848 1104 1219 1272 1472 1536 1696 1721 2208 2438 2544 2944 3392 3442 3657 4416 4876 5088 5163 5888 6784 6884 7314 8832 9752 10176 10326 11776 13568 13768 14628 17664 19504 20352 20652 27136 27536 29256 35328 39008 39583 40704 41304 55072 58512 78016 79166 81408 82608 91213 110144 117024 118749 156032 158332 165216 182426 220288 234048 237498 273639 312064 316664 330432 364852 440576 468096 474996 547278 624128 633328 660864 729704 881152 936192 949992 1094556 1266656 1321728 1459408 1872384 1899984 2097899 2189112 2533312 2643456 2918816 3799968 4195798 4378224 5066624 5837632 6293697 7599936 8391596 8756448 10133248 11675264 12587394 15199872 16783192 17512896 20266496 23350528 25174788 30399744 33566384 35025792 46701056 50349576 60799488 67132768 70051584 100699152 134265536 140103168 201398304 268531072 402796608 537062144 805593216 1074124288 1611186432 3222372864