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20225355020 = 22513895871489
BaseRepresentation
bin10010110101100001…
…100110110100001100
31221012112120111012222
4102311201212310030
5312410142330040
613142535314512
71314126452423
oct226541466414
957175514188
1020225355020
11863975a642
123b0551ba38
131ba429b8c0
14d9c1c82ba
157d5932bb5
hex4b5866d0c

20225355020 has 96 divisors (see below), whose sum is σ = 46364270400. Its totient is φ = 7366385664.

The previous prime is 20225355019. The next prime is 20225355023. The reversal of 20225355020 is 2055352202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (20225355023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13582436 + ... + 13583924.

It is an arithmetic number, because the mean of its divisors is an integer number (482961150).

Almost surely, 220225355020 is an apocalyptic number.

20225355020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23182135200).

20225355020 is an abundant number, since it is smaller than the sum of its proper divisors (26138915380).

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

20225355020 is a wasteful number, since it uses less digits than its factorization.

20225355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The spelling of 20225355020 in words is "twenty billion, two hundred twenty-five million, three hundred fifty-five thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 587 890 1157 1174 1489 1780 2314 2348 2935 2978 4628 5785 5870 5956 7445 7631 11570 11740 14890 15262 19357 23140 29780 30524 38155 38714 52243 76310 77428 96785 104486 132521 152620 193570 208972 261215 265042 387140 522430 530084 662605 679159 874043 1044860 1325210 1358318 1722773 1748086 2650420 2716636 3395795 3445546 3496172 4370215 6791590 6891092 8613865 8740430 11362559 13583180 17227730 17480860 22725118 34455460 45450236 56812795 77789827 113625590 155579654 227251180 311159308 388949135 777898270 1011267751 1555796540 2022535502 4045071004 5056338755 10112677510 20225355020