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1358224020 = 223257545689
BaseRepresentation
bin101000011110100…
…1101101010010100
310111122201221002100
41100331031222110
510240201132040
6342435242100
745441466536
oct12075155224
93448657070
101358224020
1163775589a
1231aa49330
1318851276a
14cc559856
157e391b30
hex50f4da94

1358224020 has 36 divisors (see below), whose sum is σ = 4119946740. Its totient is φ = 362193024.

The previous prime is 1358224003. The next prime is 1358224031. The reversal of 1358224020 is 204228531.

It can be written as a sum of positive squares in 2 ways, for example, as 161340804 + 1196883216 = 12702^2 + 34596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×13582240203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3772665 + ... + 3773024.

It is an arithmetic number, because the mean of its divisors is an integer number (114442965).

Almost surely, 21358224020 is an apocalyptic number.

1358224020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358224020 is an abundant number, since it is smaller than the sum of its proper divisors (2761722720).

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

1358224020 is a wasteful number, since it uses less digits than its factorization.

1358224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7545704 (or 7545699 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1358224020 is about 36854.0909533799. The cubic root of 1358224020 is about 1107.4491705717.

The spelling of 1358224020 in words is "one billion, three hundred fifty-eight million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7545689 15091378 22637067 30182756 37728445 45274134 67911201 75456890 90548268 113185335 135822402 150913780 226370670 271644804 339556005 452741340 679112010 1358224020