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3222212240 = 2451367131353
BaseRepresentation
bin1100000000001111…
…0000111010010000
322022120011100020002
43000003300322100
523044341242430
61251423105132
7142564231532
oct30003607220
98276140202
103222212240
111403944825
1275b1421a8
133c4747b80
14227d2b852
1513cd39845
hexc00f0e90

3222212240 has 160 divisors (see below), whose sum is σ = 8274220416. Its totient is φ = 1159741440.

The previous prime is 3222212233. The next prime is 3222212269. The reversal of 3222212240 is 422122223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9127904 + ... + 9128256.

Almost surely, 23222212240 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 3222212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137110208).

3222212240 is an abundant number, since it is smaller than the sum of its proper divisors (5052008176).

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

3222212240 is a wasteful number, since it uses less digits than its factorization.

3222212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3222212240 is about 56764.5332932457. The cubic root of 3222212240 is about 1477.0143486652.

Adding to 3222212240 its reverse (422122223), we get a palindrome (3644334463).

The spelling of 3222212240 in words is "three billion, two hundred twenty-two million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 131 134 208 260 262 268 335 353 520 524 536 655 670 706 871 1040 1048 1072 1310 1340 1412 1703 1742 1765 2096 2620 2680 2824 3406 3484 3530 4355 4589 5240 5360 5648 6812 6968 7060 8515 8710 8777 9178 10480 13624 13936 14120 17030 17420 17554 18356 22945 23651 27248 28240 34060 34840 35108 36712 43885 45890 46243 47302 68120 69680 70216 73424 87770 91780 92486 94604 114101 118255 136240 140432 175540 183560 184972 189208 228202 231215 236510 307463 351080 367120 369944 378416 456404 462430 473020 570505 601159 614926 702160 739888 912808 924860 946040 1141010 1202318 1229852 1537315 1825616 1849720 1892080 2282020 2404636 2459704 3005795 3074630 3098281 3699440 4564040 4809272 4919408 6011590 6149260 6196562 9128080 9618544 12023180 12298520 12393124 15491405 24046360 24597040 24786248 30982810 40277653 48092720 49572496 61965620 80555306 123931240 161110612 201388265 247862480 322221224 402776530 644442448 805553060 1611106120 3222212240