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3222233140 = 22572732617
BaseRepresentation
bin1100000000001111…
…0110000000110100
322022120012101220011
43000003312000310
523044342430030
61251423350004
7142564346500
oct30003660064
98276171804
103222233140
1114039594a5
1275b152304
133c4754539
14227d35300
1513cd40b2a
hexc00f6034

3222233140 has 108 divisors (see below), whose sum is σ = 7993695276. Its totient is φ = 1087865856.

The previous prime is 3222233129. The next prime is 3222233141. The reversal of 3222233140 is 413322223.

It can be written as a sum of positive squares in 6 ways, for example, as 300398224 + 2921834916 = 17332^2 + 54054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3222233141) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5222112 + ... + 5222728.

It is an arithmetic number, because the mean of its divisors is an integer number (74015697).

Almost surely, 23222233140 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 3222233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996847638).

3222233140 is an abundant number, since it is smaller than the sum of its proper divisors (4771462136).

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

3222233140 is a wasteful number, since it uses less digits than its factorization.

3222233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3222233140 is about 56764.7173867712. The cubic root of 3222233140 is about 1477.0175420751.

Adding to 3222233140 its reverse (413322223), we get a palindrome (3635555363).

The spelling of 3222233140 in words is "three billion, two hundred twenty-two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 617 730 980 1022 1234 1460 2044 2468 2555 3085 3577 4319 5110 5329 6170 7154 8638 10220 10658 12340 14308 17276 17885 21316 21595 26645 30233 35770 37303 43190 45041 53290 60466 71540 74606 86380 90082 106580 120932 149212 151165 180164 186515 225205 261121 302330 315287 373030 450410 522242 604660 630574 746060 900820 1044484 1261148 1305605 1576435 2207009 2611210 3152870 3287993 4414018 5222420 6305740 6575986 8828036 11035045 13151972 16439965 22070090 23015951 32879930 44140180 46031902 65759860 92063804 115079755 161111657 230159510 322223314 460319020 644446628 805558285 1611116570 3222233140