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221015001620 = 225713671154849
BaseRepresentation
bin1100110111010110000…
…1010100101000010100
3210010110220201101012202
43031311201110220110
512110114320022440
6245311034304032
721652646342210
oct3156541245024
9703426641182
10221015001620
118580622aa36
1236a01588018
1317ac308728a
14a9a90db940
155b38386615
hex3375854a14

221015001620 has 48 divisors (see below), whose sum is σ = 530824492800. Its totient is φ = 75721073664.

The previous prime is 221015001583. The next prime is 221015001659. The reversal of 221015001620 is 26100510122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 221015001592 and 221015001601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386045 + ... + 768804.

It is an arithmetic number, because the mean of its divisors is an integer number (11058843600).

Almost surely, 2221015001620 is an apocalyptic number.

221015001620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221015001620 is an abundant number, since it is smaller than the sum of its proper divisors (309809491180).

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

221015001620 is a wasteful number, since it uses less digits than its factorization.

221015001620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156232 (or 1156230 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 221015001620 its reverse (26100510122), we get a palindrome (247115511742).

The spelling of 221015001620 in words is "two hundred twenty-one billion, fifteen million, one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1367 2734 5468 6835 9569 13670 19138 27340 38276 47845 95690 191380 1154849 2309698 4619396 5774245 8083943 11548490 16167886 23096980 32335772 40419715 80839430 161678860 1578678583 3157357166 6314714332 7893392915 11050750081 15786785830 22101500162 31573571660 44203000324 55253750405 110507500810 221015001620