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10354422224 = 246618291181
BaseRepresentation
bin10011010010010101…
…11111000111010000
3222201121200011000102
421221022333013100
5132201213002344
64431243111532
7514410064616
oct115112770720
928647604012
1010354422224
11443388a743
12200b8125a8
13c90261473
147032616b6
1540906be4e
hex2692bf1d0

10354422224 has 40 divisors (see below), whose sum is σ = 20133313320. Its totient is φ = 5158771200.

The previous prime is 10354422223. The next prime is 10354422257. The reversal of 10354422224 is 42222445301.

10354422224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5685160000 + 4669262224 = 75400^2 + 68332^2 .

It is a super-3 number, since 3×103544222243 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354422223) 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 7 ways as a sum of consecutive naturals, for example, 8766914 + ... + 8768094.

It is an arithmetic number, because the mean of its divisors is an integer number (503332833).

Almost surely, 210354422224 is an apocalyptic number.

It is an amenable number.

10354422224 is a deficient number, since it is larger than the sum of its proper divisors (9778891096).

10354422224 is a wasteful number, since it uses less digits than its factorization.

10354422224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 10354422224 its reverse (42222445301), we get a palindrome (52576867525).

The spelling of 10354422224 in words is "ten billion, three hundred fifty-four million, four hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 661 829 1181 1322 1658 2362 2644 3316 4724 5288 6632 9448 10576 13264 18896 547969 780641 979049 1095938 1561282 1958098 2191876 3122564 3916196 4383752 6245128 7832392 8767504 12490256 15664784 647151389 1294302778 2588605556 5177211112 10354422224