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3221214030 = 2325311279091
BaseRepresentation
bin1011111111111111…
…1101001101001110
322022111021121221100
42333333331031032
523044112322110
61251345443530
7142552603356
oct27777751516
98274247840
103221214030
111403322861
1275a9405a6
133c4488708
14227b4bb66
1513cbddbc0
hexbfffd34e

3221214030 has 96 divisors (see below), whose sum is σ = 8714354688. Its totient is φ = 824644800.

The previous prime is 3221213977. The next prime is 3221214041. The reversal of 3221214030 is 304121223.

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

It is a junction number, because it is equal to n+sod(n) for n = 3221213994 and 3221214012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349785 + ... + 358875.

It is an arithmetic number, because the mean of its divisors is an integer number (90774528).

Almost surely, 23221214030 is an apocalyptic number.

3221214030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221214030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357177344).

3221214030 is an abundant number, since it is smaller than the sum of its proper divisors (5493140658).

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

3221214030 is a wasteful number, since it uses less digits than its factorization.

3221214030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9262 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3221214030 is about 56755.7400621294. The cubic root of 3221214030 is about 1476.8618113546.

Adding to 3221214030 its reverse (304121223), we get a palindrome (3525335253).

The spelling of 3221214030 in words is "three billion, two hundred twenty-one million, two hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 127 155 186 254 279 310 381 465 558 635 762 930 1143 1270 1395 1905 2286 2790 3810 3937 5715 7874 9091 11430 11811 18182 19685 23622 27273 35433 39370 45455 54546 59055 70866 81819 90910 118110 136365 163638 177165 272730 281821 354330 409095 563642 818190 845463 1154557 1409105 1690926 2309114 2536389 2818210 3463671 4227315 5072778 5772785 6927342 8454630 10391013 11545570 12681945 17318355 20782026 25363890 34636710 35791267 51955065 71582534 103910130 107373801 178956335 214747602 322121403 357912670 536869005 644242806 1073738010 1610607015 3221214030