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223201341025 = 52131099776449
BaseRepresentation
bin1100111111011111010…
…1100010111001100001
3210100010021200221001021
43033313311202321201
512124104020403100
6250312015205441
722061065044445
oct3176765427141
9710107627037
10223201341025
118672837a103
1237311816881
1318081014b30
14ab35620825
155c152a5a1a
hex33f7d62e61

223201341025 has 48 divisors (see below), whose sum is σ = 301148694000. Its totient is φ = 163120988160.

The previous prime is 223201340939. The next prime is 223201341037. The reversal of 223201341025 is 520143102322.

It can be written as a sum of positive squares in 24 ways, for example, as 42501533281 + 180699807744 = 206159^2 + 425088^2 .

It is not a de Polignac number, because 223201341025 - 29 = 223201340513 is a prime.

It is a super-3 number, since 3×2232013410253 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34607001 + ... + 34613449.

It is an arithmetic number, because the mean of its divisors is an integer number (6273931125).

Almost surely, 2223201341025 is an apocalyptic number.

223201341025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

223201341025 is a deficient number, since it is larger than the sum of its proper divisors (77947352975).

223201341025 is a wasteful number, since it uses less digits than its factorization.

223201341025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7558 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 223201341025 its reverse (520143102322), we get a palindrome (743344443347).

The spelling of 223201341025 in words is "two hundred twenty-three billion, two hundred one million, three hundred forty-one thousand, twenty-five".

Divisors: 1 5 13 25 65 109 325 545 977 1417 2725 4885 6449 7085 12701 24425 32245 35425 63505 83837 106493 161225 317525 419185 532465 702941 1384409 2095925 2662325 3514705 6300673 6922045 9138233 17573525 31503365 34610225 45691165 81908749 157516825 228455825 409543745 686773357 2047718725 3433866785 8928053641 17169333925 44640268205 223201341025