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2212011233120 = 255132346237693
BaseRepresentation
bin100000001100000110001…
…001001100111101100000
321211110120212101101202102
4200030012021030331200
5242220144333424440
64412103421305532
7315545462152313
oct40140611147540
97743525341672
102212011233120
11783121746227
122b88521052a8
1313079014bc80
14790c1c7497a
153c815b90b15
hex2030624cf60

2212011233120 has 96 divisors (see below), whose sum is σ = 5872557039552. Its totient is φ = 781232044032.

The previous prime is 2212011233087. The next prime is 2212011233129. The reversal of 2212011233120 is 213321102122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212011233092 and 2212011233101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212011233129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23071007 + ... + 23166686.

It is an arithmetic number, because the mean of its divisors is an integer number (61172469162).

Almost surely, 22212011233120 is an apocalyptic number.

2212011233120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212011233120 is an abundant number, since it is smaller than the sum of its proper divisors (3660545806432).

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

2212011233120 is a wasteful number, since it uses less digits than its factorization.

2212011233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46237744 (or 46237736 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2212011233120 its reverse (213321102122), we get a palindrome (2425332335242).

The spelling of 2212011233120 in words is "two trillion, two hundred twelve billion, eleven million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 65 80 92 104 115 130 160 184 208 230 260 299 368 416 460 520 598 736 920 1040 1196 1495 1840 2080 2392 2990 3680 4784 5980 9568 11960 23920 47840 46237693 92475386 184950772 231188465 369901544 462376930 601090009 739803088 924753860 1063466939 1202180018 1479606176 1849507720 2126933878 2404360036 3005450045 3699015440 4253867756 4808720072 5317334695 6010900090 7398030880 8507735512 9617440144 10634669390 12021800180 13825070207 17015471024 19234880288 21269338780 24043600360 27650140414 34030942048 42538677560 48087200720 55300280828 69125351035 85077355120 96174401440 110600561656 138250702070 170154710240 221201123312 276501404140 442402246624 553002808280 1106005616560 2212011233120