Search a number
-
+
22450135041224 = 23115331715184523
BaseRepresentation
bin1010001101011000101000…
…10100110000010011001000
32221111012201111210200222022
411012230110110300103020
510420310334032304344
6115425241043144012
74504653163161632
oct506542424602310
987435644720868
1022450135041224
117176059a58790
122626ba0975008
13c6b066bb83b7
14578841513a52
1528dea5dc90ee
hex146b145304c8

22450135041224 has 64 divisors (see below), whose sum is σ = 46934756303040. Its totient is φ = 9980482620160.

The previous prime is 22450135041221. The next prime is 22450135041227. The reversal of 22450135041224 is 42214053105422.

It is an interprime number because it is at equal distance from previous prime (22450135041221) and next prime (22450135041227).

It is not an unprimeable number, because it can be changed into a prime (22450135041221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6113774 + ... + 9070749.

It is an arithmetic number, because the mean of its divisors is an integer number (733355567235).

Almost surely, 222450135041224 is an apocalyptic number.

It is an amenable number.

22450135041224 is an abundant number, since it is smaller than the sum of its proper divisors (24484621261816).

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

22450135041224 is a wasteful number, since it uses less digits than its factorization.

22450135041224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15184910 (or 15184906 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 22450135041224 its reverse (42214053105422), we get a palindrome (64664188146646).

The spelling of 22450135041224 in words is "twenty-two trillion, four hundred fifty billion, one hundred thirty-five million, forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 212 317 424 583 634 1166 1268 2332 2536 3487 4664 6974 13948 16801 27896 33602 67204 134408 184811 369622 739244 1478488 15184523 30369046 60738092 121476184 167029753 334059506 668119012 804779719 1336238024 1609559438 3219118876 4813493791 6438237752 8852576909 9626987582 17705153818 19253975164 35410307636 38507950328 52948431701 70820615272 105896863402 211793726804 255115170923 423587453608 510230341846 1020460683692 2040921367384 2806266880153 5612533760306 11225067520612 22450135041224