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332222040 = 23335319923
BaseRepresentation
bin10011110011010…
…100111001011000
3212011010121222000
4103303110321120
51140022101130
652544401000
711142561243
oct2363247130
9764117860
10332222040
11160592377
1293316160
1353aa02b7
14321a025a
151e276260
hex13cd4e58

332222040 has 128 divisors (see below), whose sum is σ = 1143244800. Its totient is φ = 85726080.

The previous prime is 332222039. The next prime is 332222063. The reversal of 332222040 is 40222233.

332222040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3322220402 = 220742967723523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28519 + ... + 38441.

It is an arithmetic number, because the mean of its divisors is an integer number (8931600).

Almost surely, 2332222040 is an apocalyptic number.

332222040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571622400).

332222040 is an abundant number, since it is smaller than the sum of its proper divisors (811022760).

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

332222040 is a wasteful number, since it uses less digits than its factorization.

332222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9974 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 332222040 is about 18226.9591539565. The cubic root of 332222040 is about 692.5898887170.

Adding to 332222040 its reverse (40222233), we get a palindrome (372444273).

The spelling of 332222040 in words is "three hundred thirty-two million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 9923 11160 16740 19846 29769 33480 39692 49615 59538 79384 89307 99230 119076 148845 178614 198460 238152 267921 297690 307613 357228 396920 446535 535842 595380 615226 714456 893070 922839 1071684 1190760 1230452 1339605 1538065 1786140 1845678 2143368 2460904 2679210 2768517 3076130 3572280 3691356 4614195 5358420 5537034 6152260 7382712 8305551 9228390 10716840 11074068 12304520 13842585 16611102 18456780 22148136 27685170 33222204 36913560 41527755 55370340 66444408 83055510 110740680 166111020 332222040