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33232212020 = 22574314937049
BaseRepresentation
bin11110111100110010…
…110101000000110100
310011210000021021201102
4132330302311000310
51021024421241040
623133333345232
72254345066340
oct367462650064
9104700237642
1033232212020
1113103798837
126535498218
133197c016a7
14187381a620
15ce778b515
hex7bccb5034

33232212020 has 96 divisors (see below), whose sum is σ = 82162080000. Its totient is φ = 11053937664.

The previous prime is 33232212007. The next prime is 33232212023. The reversal of 33232212020 is 2021223233.

It is a super-2 number, since 2×332322120202 (a number of 22 digits) contains 22 as substring.

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 = 33232211983 and 33232212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33232212023) 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, 878456 + ... + 915504.

It is an arithmetic number, because the mean of its divisors is an integer number (855855000).

Almost surely, 233232212020 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 33232212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040000).

33232212020 is an abundant number, since it is smaller than the sum of its proper divisors (48929867980).

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

33232212020 is a wasteful number, since it uses less digits than its factorization.

33232212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37257 (or 37255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 33232212020 its reverse (2021223233), we get a palindrome (35253435253).

The spelling of 33232212020 in words is "thirty-three billion, two hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 149 172 215 298 301 430 596 602 745 860 1043 1204 1490 1505 2086 2980 3010 4172 5215 6020 6407 10430 12814 20860 25628 32035 37049 44849 64070 74098 89698 128140 148196 179396 185245 224245 259343 370490 448490 518686 740980 896980 1037372 1296715 1593107 2593430 3186214 5186860 5520301 6372428 7965535 11040602 11151749 15931070 22081204 22303498 27601505 31862140 38642107 44606996 55203010 55758745 77284214 110406020 111517490 154568428 193210535 223034980 237372943 386421070 474745886 772842140 949491772 1186864715 1661610601 2373729430 3323221202 4747458860 6646442404 8308053005 16616106010 33232212020