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22200010144 = 251373731033
BaseRepresentation
bin10100101011001110…
…010100010110100000
32010022011020100210221
4110223032110112200
5330431200311034
614110515132424
71414064654434
oct245316242640
963264210727
1022200010144
119462366224
1243768a4114
13212a410aa0
1411085669c4
1589de8abb4
hex52b3945a0

22200010144 has 48 divisors (see below), whose sum is σ = 47713127112. Its totient is φ = 10105786368.

The previous prime is 22200010141. The next prime is 22200010169. The reversal of 22200010144 is 44101000222.

It can be written as a sum of positive squares in 4 ways, for example, as 18930457744 + 3269552400 = 137588^2 + 57180^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (22200010141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335149 + ... + 395884.

Almost surely, 222200010144 is an apocalyptic number.

It is an amenable number.

22200010144 is an abundant number, since it is smaller than the sum of its proper divisors (25513116968).

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

22200010144 is a wasteful number, since it uses less digits than its factorization.

22200010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731129 (or 731121 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22200010144 its reverse (44101000222), we get a palindrome (66301010366).

The spelling of 22200010144 in words is "twenty-two billion, two hundred million, ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 949 1168 1898 2336 3796 7592 15184 30368 731033 1462066 2924132 5848264 9503429 11696528 19006858 23393056 38013716 53365409 76027432 106730818 152054864 213461636 304109728 426923272 693750317 853846544 1387500634 1707693088 2775001268 5550002536 11100005072 22200010144