Search a number
-
+
202320444023202 = 23471379995198939
BaseRepresentation
bin101110000000001001100110…
…001100100110000110100010
3222112100122102121102220212010
4232000021212030212012202
5203004304232132220302
61554144421234013350
760421112132136351
oct5600114614460642
9875318377386763
10202320444023202
115951368919367a
121a837083417256
1388b7975012bab
1437d650c881998
15185cc4445416c
hexb802663261a2

202320444023202 has 32 divisors (see below), whose sum is σ = 413253342720000. Its totient is φ = 66004760243408.

The previous prime is 202320444023189. The next prime is 202320444023237.

202320444023202 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2023204440232022 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202320444023202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36316249 + ... + 41515187.

It is an arithmetic number, because the mean of its divisors is an integer number (12914166960000).

Almost surely, 2202320444023202 is an apocalyptic number.

202320444023202 is an abundant number, since it is smaller than the sum of its proper divisors (210932898696798).

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

202320444023202 is a wasteful number, since it uses less digits than its factorization.

202320444023202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336990.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2023204 and 44023202, that added together give a triangular number (46046406 = T9596).

The spelling of 202320444023202 in words is "two hundred two trillion, three hundred twenty billion, four hundred forty-four million, twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 47 94 141 282 137999 275998 413997 827994 5198939 6485953 10397878 12971906 15596817 19457859 31193634 38915718 244350133 488700266 733050399 1466100798 717448383061 1434896766122 2152345149183 4304690298366 33720074003867 67440148007734 101160222011601 202320444023202