Search a number
-
+
222012211212 = 2232111740182241
BaseRepresentation
bin1100111011000011110…
…1011000000000001100
3210020001102010212121100
43032300331120000030
512114140111224322
6245554020103100
722016445441621
oct3166075300014
9706042125540
10222012211212
11861781182a0
123703b534a90
1317c2185831c
14aa61720348
155b95bb5dac
hex33b0f5800c

222012211212 has 144 divisors (see below), whose sum is σ = 649852598304. Its totient is φ = 63160320000.

The previous prime is 222012211189. The next prime is 222012211271. The reversal of 222012211212 is 212112210222.

It is a happy number.

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

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, 2658412 + ... + 2740652.

It is an arithmetic number, because the mean of its divisors is an integer number (4512865266).

Almost surely, 2222012211212 is an apocalyptic number.

222012211212 is a gapful number since it is divisible by the number (22) 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 222012211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324926299152).

222012211212 is an abundant number, since it is smaller than the sum of its proper divisors (427840387092).

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

222012211212 is a wasteful number, since it uses less digits than its factorization.

222012211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82680 (or 82675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222012211212 its reverse (212112210222), we get a palindrome (434124421434).

The spelling of 222012211212 in words is "two hundred twenty-two billion, twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 401 561 612 748 802 1122 1203 1604 1683 2244 2406 3366 3609 4411 4812 6732 6817 7218 8822 13233 13634 14436 17644 20451 26466 27268 39699 40902 52932 61353 74987 79398 81804 82241 122706 149974 158796 164482 224961 245412 246723 299948 328964 449922 493446 674883 740169 899844 904651 986892 1349766 1398097 1480338 1809302 2699532 2713953 2796194 2960676 3618604 4194291 5427906 5592388 8141859 8388582 10855812 12582873 15379067 16283718 16777164 25165746 30758134 32567436 32978641 46137201 50331492 61516268 65957282 92274402 98935923 131914564 138411603 184548804 197871846 276823206 296807769 362765051 395743692 553646412 560636897 593615538 725530102 1088295153 1121273794 1187231076 1451060204 1681910691 2176590306 2242547588 3264885459 3363821382 4353180612 5045732073 6167005867 6529770918 6727642764 10091464146 12334011734 13059541836 18501017601 20182928292 24668023468 37002035202 55503052803 74004070404 111006105606 222012211212