Search a number
-
+
22463655636422 = 271131397956003
BaseRepresentation
bin1010001101110001110100…
…01101101110110111000110
32221112111121210012002210102
411012320322031232313012
510421021031320331142
6115435354432324102
74505642220301550
oct506707215566706
987474553162712
1022463655636422
117180867a87000
1226297349a3632
13c6c4100a34a0
145793650764d0
1528e4e7db1532
hex146e3a36edc6

22463655636422 has 128 divisors (see below), whose sum is σ = 46085694778368. Its totient is φ = 7995541847040.

The previous prime is 22463655636379. The next prime is 22463655636427.

22463655636422 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22463655636427) 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, 23019473 + ... + 23975475.

It is an arithmetic number, because the mean of its divisors is an integer number (360044490456).

Almost surely, 222463655636422 is an apocalyptic number.

22463655636422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22463655636422 is an abundant number, since it is smaller than the sum of its proper divisors (23622039141946).

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

22463655636422 is a wasteful number, since it uses less digits than its factorization.

22463655636422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956155 (or 956133 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 56.

The spelling of 22463655636422 in words is "twenty-two trillion, four hundred sixty-three billion, six hundred fifty-five million, six hundred thirty-six thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 97 121 143 154 182 194 242 286 679 847 1001 1067 1261 1331 1358 1573 1694 2002 2134 2522 2662 3146 7469 8827 9317 11011 11737 13871 14938 17303 17654 18634 22022 23474 27742 34606 82159 97097 121121 129107 152581 164318 194194 242242 258214 305162 903749 956003 1068067 1678391 1807498 1912006 2136134 3356782 6692021 10516033 11748737 12428039 13384042 21032066 23497474 24856078 73612231 86996273 92732291 115676363 136708429 147224462 173992546 185464582 231352726 273416858 649126037 809734541 956959003 1020055201 1205519783 1272439993 1298252074 1503792719 1619469082 1913918006 2040110402 2411039566 2544879986 3007585438 7140386407 8438638481 8907079951 10526549033 11220607211 13260717613 14280772814 16541719909 16877276962 17814159902 21053098066 22441214422 26521435226 33083439818 78544250477 92825023291 115792039363 123426679321 145867893743 157088500954 185650046582 231584078726 246853358642 291735787486 863986755247 1021075256201 1604546831173 1727973510494 2042150512402 3209093662346 11231827818211 22463655636422