Search a number
-
+
1022204114334 = 233131973738029
BaseRepresentation
bin11101110000000000001…
…11001111010110011110
310121201111011101022012000
432320000013033112132
5113221433223124314
62101332153423130
7133565112416154
oct16700007172636
93551434338160
101022204114334
11364572634707
1214613a10aaa6
13755164b5730
143769135b3d4
151b8cac63209
hexee001cf59e

1022204114334 has 64 divisors (see below), whose sum is σ = 2447543649600. Its totient is φ = 314364502656.

The previous prime is 1022204114329. The next prime is 1022204114353. The reversal of 1022204114334 is 4334114022201.

1022204114334 is a `hidden beast` number, since 1 + 0 + 2 + 220 + 4 + 1 + 1 + 433 + 4 = 666.

1022204114334 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-2 number, since 2×10222041143342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1022204114298 and 1022204114307.

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, 1016032 + ... + 1754060.

It is an arithmetic number, because the mean of its divisors is an integer number (38242869525).

Almost surely, 21022204114334 is an apocalyptic number.

1022204114334 is an abundant number, since it is smaller than the sum of its proper divisors (1425339535266).

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

1022204114334 is a wasteful number, since it uses less digits than its factorization.

1022204114334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740026 (or 740020 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1022204114334 its reverse (4334114022201), we get a palindrome (5356318136535).

The spelling of 1022204114334 in words is "one trillion, twenty-two billion, two hundred four million, one hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1973 3946 5919 11838 17757 25649 35514 51298 53271 76947 106542 153894 230841 461682 692523 738029 1385046 1476058 2214087 4428174 6642261 9594377 13284522 19188754 19926783 28783131 39853566 57566262 86349393 172698786 259048179 518096358 1456131217 2912262434 4368393651 8736787302 13105180953 18929705821 26210361906 37859411642 39315542859 56789117463 78631085718 113578234926 170367352389 340734704778 511102057167 1022204114334