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22321122002020 = 2256118296001641
BaseRepresentation
bin1010001001101000010101…
…00011000100010001100100
32221000212201101000021001001
411010310022203010101210
510411202124213031040
6115250103142043044
74462435132350202
oct504641243042144
987025641007031
1022321122002020
117126375506936
122605b96719484
13c5bb46636a4a
145724c3160072
1528a954a1d59a
hex144d0a8c4464

22321122002020 has 24 divisors (see below), whose sum is σ = 47642788275768. Its totient is φ = 8782080787200.

The previous prime is 22321122001999. The next prime is 22321122002029. The reversal of 22321122002020 is 2020022112322.

It can be written as a sum of positive squares in 4 ways, for example, as 874090365184 + 21447031636836 = 934928^2 + 4631094^2 .

It is a super-3 number, since 3×223211220020203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22321122002029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9147999601 + ... + 9148002040.

It is an arithmetic number, because the mean of its divisors is an integer number (1985116178157).

Almost surely, 222321122002020 is an apocalyptic number.

22321122002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321122002020 is an abundant number, since it is smaller than the sum of its proper divisors (25321666273748).

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

22321122002020 is a wasteful number, since it uses less digits than its factorization.

22321122002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18296001711 (or 18296001709 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22321122002020 its reverse (2020022112322), we get a palindrome (24341144114342).

The spelling of 22321122002020 in words is "twenty-two trillion, three hundred twenty-one billion, one hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 18296001641 36592003282 73184006564 91480008205 182960016410 365920032820 1116056100101 2232112200202 4464224400404 5580280500505 11160561001010 22321122002020