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2223201023001 = 32725836986369
BaseRepresentation
bin100000010110100001000…
…110110111010000011001
321212112110200221121202200
4200112201012313100121
5242411103430214001
64421154025320413
7316422664616400
oct40264106672031
97775420847680
102223201023001
11787944022a62
122baa55636109
1313185449750a
147986402a637
153cc6d21e086
hex205a11b7419

2223201023001 has 36 divisors (see below), whose sum is σ = 3735689922900. Its totient is φ = 1270364110848.

The previous prime is 2223201022993. The next prime is 2223201023011. The reversal of 2223201023001 is 1003201023222.

It can be written as a sum of positive squares in 2 ways, for example, as 951256904976 + 1271944118025 = 975324^2 + 1127805^2 .

It is not a de Polignac number, because 2223201023001 - 23 = 2223201022993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2223201023011) 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 35 ways as a sum of consecutive naturals, for example, 25697545 + ... + 25783913.

It is an arithmetic number, because the mean of its divisors is an integer number (103769164525).

Almost surely, 22223201023001 is an apocalyptic number.

2223201023001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2223201023001 is a deficient number, since it is larger than the sum of its proper divisors (1512488899899).

2223201023001 is a wasteful number, since it uses less digits than its factorization.

2223201023001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144758 (or 144748 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2223201023001 its reverse (1003201023222), we get a palindrome (3226402046223).

The spelling of 2223201023001 in words is "two trillion, two hundred twenty-three billion, two hundred one million, twenty-three thousand, one".

Divisors: 1 3 7 9 21 49 63 147 441 58369 86369 175107 259107 408583 525321 604583 777321 1225749 1813749 2860081 3677247 4232081 5441247 8580243 12696243 25740729 38088729 5041272161 15123816483 35288905127 45371449449 105866715381 247022335889 317600146143 741067007667 2223201023001