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2232122401240 = 235176750099781
BaseRepresentation
bin100000011110110100110…
…111001110000111011000
321220101111110002120222221
4200132310313032013120
5243032341313314430
64425231201353424
7320160034234444
oct40366467160730
97811443076887
102232122401240
117907019a4526
12300725338874
1313264687a854
147a06cc17824
153d0e156a57a
hex207b4dce1d8

2232122401240 has 128 divisors (see below), whose sum is σ = 5398701451200. Its totient is φ = 827536343040.

The previous prime is 2232122401231. The next prime is 2232122401297. The reversal of 2232122401240 is 421042212322.

2232122401240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22321224012403 (a number of 38 digits) contains 333 as substring.

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, 228205150 + ... + 228214930.

Almost surely, 22232122401240 is an apocalyptic number.

2232122401240 is a gapful number since it is divisible by the number (20) 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 2232122401240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699350725600).

2232122401240 is an abundant number, since it is smaller than the sum of its proper divisors (3166579049960).

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

2232122401240 is a wasteful number, since it uses less digits than its factorization.

2232122401240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14885 (or 14881 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2232122401240 its reverse (421042212322), we get a palindrome (2653164613562).

It can be divided in two parts, 2232122 and 401240, that added together give a palindrome (2633362).

The spelling of 2232122401240 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-two million, four hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 335 340 536 670 680 1139 1340 2278 2680 4556 5009 5695 9112 9781 10018 11390 19562 20036 22780 25045 39124 40072 45560 48905 50090 78248 85153 97810 100180 166277 170306 195620 200360 332554 335603 340612 391240 425765 655327 665108 671206 681224 831385 851530 1310654 1330216 1342412 1662770 1678015 1703060 2621308 2684824 3276635 3325540 3356030 3406120 5242616 5705251 6553270 6651080 6712060 11140559 11410502 13106540 13424120 22281118 22821004 26213080 28526255 44562236 45642008 48993029 55702795 57052510 89124472 97986058 111405590 114105020 195972116 222811180 228210040 244965145 391944232 445622360 489930290 832881493 979860580 1665762986 1959721160 3282532943 3331525972 4164407465 6565065886 6663051944 8328814930 13130131772 16412664715 16657629860 26260263544 32825329430 33315259720 55803060031 65650658860 111606120062 131301317720 223212240124 279015300155 446424480248 558030600310 1116061200620 2232122401240