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204211000404 = 223223739333737
BaseRepresentation
bin1011111000101111101…
…1001001010001010100
3201112002211000200002100
42332023323021101110
511321211004003104
6233451354242100
720516352602055
oct2761373112124
9645084020070
10204211000404
1179672871124
12336b1a26330
1316345879ba8
149c5347c72c
1554a2ec8139
hex2f8bec9454

204211000404 has 72 divisors (see below), whose sum is σ = 539374006080. Its totient is φ = 65022452352.

The previous prime is 204211000373. The next prime is 204211000457. The reversal of 204211000404 is 404000112402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 445024 + ... + 778760.

It is an arithmetic number, because the mean of its divisors is an integer number (7491305640).

Almost surely, 2204211000404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204211000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269687003040).

204211000404 is an abundant number, since it is smaller than the sum of its proper divisors (335163005676).

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

204211000404 is a wasteful number, since it uses less digits than its factorization.

204211000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334509 (or 334504 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 204211000404 its reverse (404000112402), we get a palindrome (608211112806).

The spelling of 204211000404 in words is "two hundred four billion, two hundred eleven million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 739 828 1478 2217 2956 4434 6651 8868 13302 16997 26604 33994 50991 67988 101982 152973 203964 305946 333737 611892 667474 1001211 1334948 2002422 3003633 4004844 6007266 7675951 12014532 15351902 23027853 30703804 46055706 69083559 92111412 138167118 246631643 276334236 493263286 739894929 986526572 1479789858 2219684787 2959579716 4439369574 5672527789 8878739148 11345055578 17017583367 22690111156 34035166734 51052750101 68070333468 102105500202 204211000404