Search a number
-
+
2221303212030 = 2357193371651981
BaseRepresentation
bin100000010100101111111…
…111010010011111111110
321212100120102212211112110
4200110233333102133332
5242343212110241110
64420241432514450
7316324651524660
oct40245777223776
97770512784473
102221303212030
1178705a832541
122ba605b4ba26
1313161124c146
1479723d72530
153cbab7e4a20
hex2052ffd27fe

2221303212030 has 128 divisors (see below), whose sum is σ = 6432421432320. Its totient is φ = 479576401920.

The previous prime is 2221303211999. The next prime is 2221303212031. The reversal of 2221303212030 is 302123031222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2221303211988 and 2221303212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221303212031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518640 + ... + 2170620.

It is an arithmetic number, because the mean of its divisors is an integer number (50253292440).

Almost surely, 22221303212030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221303212030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216210716160).

2221303212030 is an abundant number, since it is smaller than the sum of its proper divisors (4211118220290).

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

2221303212030 is a wasteful number, since it uses less digits than its factorization.

2221303212030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652354.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2221303212030 its reverse (302123031222), we get a palindrome (2523426243252).

The spelling of 2221303212030 in words is "two trillion, two hundred twenty-one billion, three hundred three million, two hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 337 399 570 665 674 798 1011 1330 1685 1995 2022 2359 3370 3990 4718 5055 6403 7077 10110 11795 12806 14154 19209 23590 32015 35385 38418 44821 64030 70770 89642 96045 134463 192090 224105 268926 448210 672315 1344630 1651981 3303962 4955943 8259905 9911886 11563867 16519810 23127734 24779715 31387639 34691601 49559430 57819335 62775278 69383202 94162917 115638670 156938195 173458005 188325834 219713473 313876390 346916010 439426946 470814585 556717597 659140419 941629170 1098567365 1113435194 1318280838 1670152791 2197134730 2783587985 3295702095 3340305582 3897023179 5567175970 6591404190 7794046358 8350763955 10577634343 11691069537 16701527910 19485115895 21155268686 23382139074 31732903029 38970231790 52888171715 58455347685 63465806058 74043440401 105776343430 116910695370 148086880802 158664515145 222130321203 317329030290 370217202005 444260642406 740434404010 1110651606015 2221303212030