Search a number
-
+
22303455104 = 27725796857
BaseRepresentation
bin10100110001011000…
…111011011110000000
32010120100212220121202
4110301120323132000
5331134141030404
614125052240332
71416462145310
oct246130733600
963510786552
1022303455104
11950579aa27
1243a54700a8
13214598c618
1411181b3440
158a80c121e
hex53163b780

22303455104 has 64 divisors (see below), whose sum is σ = 50978302560. Its totient is φ = 9521332224.

The previous prime is 22303455101. The next prime is 22303455131. The reversal of 22303455104 is 40155430322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×223034551042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22303455101) 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, 181844 + ... + 278700.

Almost surely, 222303455104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22303455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25489151280).

22303455104 is an abundant number, since it is smaller than the sum of its proper divisors (28674847456).

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

22303455104 is an equidigital number, since it uses as much as digits as its factorization.

22303455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97135 (or 97123 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 22303455104 its reverse (40155430322), we get a palindrome (62458885426).

The spelling of 22303455104 in words is "twenty-two billion, three hundred three million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 257 448 514 896 1028 1799 2056 3598 4112 7196 8224 14392 16448 28784 32896 57568 96857 115136 193714 230272 387428 677999 774856 1355998 1549712 2711996 3099424 5423992 6198848 10847984 12397696 21695968 24892249 43391936 49784498 86783872 99568996 174245743 199137992 348491486 398275984 696982972 796551968 1393965944 1593103936 2787931888 3186207872 5575863776 11151727552 22303455104