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33220213020 = 22335103597271
BaseRepresentation
bin11110111100000101…
…000011100100011100
310011202011200200012000
4132330011003210130
51021013333304040
623132224242300
72254141103001
oct367405034434
9104664620160
1033220213020
11130a7a42805
126531470390
13319558cca7
141871db58a8
15ce66bb130
hex7bc14391c

33220213020 has 96 divisors (see below), whose sum is σ = 104355363840. Its totient is φ = 8772701760.

The previous prime is 33220212989. The next prime is 33220213049. The reversal of 33220213020 is 2031202233.

It is a happy number.

33220213020 is a `hidden beast` number, since 332 + 202 + 130 + 2 + 0 = 666.

It is a super-2 number, since 2×332202130202 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 33220212984 and 33220213002.

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 31 ways as a sum of consecutive naturals, for example, 243016 + ... + 354255.

It is an arithmetic number, because the mean of its divisors is an integer number (1087035040).

Almost surely, 233220213020 is an apocalyptic number.

33220213020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33220213020 is an abundant number, since it is smaller than the sum of its proper divisors (71135150820).

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

33220213020 is a wasteful number, since it uses less digits than its factorization.

33220213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597392 (or 597384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33220213020 its reverse (2031202233), we get a palindrome (35251415253).

The spelling of 33220213020 in words is "thirty-three billion, two hundred twenty million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 412 515 540 618 927 1030 1236 1545 1854 2060 2781 3090 3708 4635 5562 6180 9270 11124 13905 18540 27810 55620 597271 1194542 1791813 2389084 2986355 3583626 5375439 5972710 7167252 8959065 10750878 11945420 16126317 17918130 21501756 26877195 32252634 35836260 53754390 61518913 64505268 80631585 107508780 123037826 161263170 184556739 246075652 307594565 322526340 369113478 553670217 615189130 738226956 922783695 1107340434 1230378260 1661010651 1845567390 2214680868 2768351085 3322021302 3691134780 5536702170 6644042604 8305053255 11073404340 16610106510 33220213020