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252021132 = 223101197
BaseRepresentation
bin11110000010110…
…00100110001100
3122120020000000000
433001120212030
51004004134012
641001404300
76150100326
oct1701304614
9576200000
10252021132
1111a294230
1270499690
134029c63c
1425684616
15171d2ddc
hexf05898c

252021132 has 132 divisors (see below), whose sum is σ = 729132936. Its totient is φ = 75582720.

The previous prime is 252021113. The next prime is 252021157. The reversal of 252021132 is 231120252.

It is a tau number, because it is divible by the number of its divisors (132).

It is a super-2 number, since 2×2520211322 = 127029301949122848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2598108 + ... + 2598204.

Almost surely, 2252021132 is an apocalyptic number.

252021132 is a gapful number since it is divisible by the number (22) 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 252021132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364566468).

252021132 is an abundant number, since it is smaller than the sum of its proper divisors (477111804).

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

252021132 is an equidigital number, since it uses as much as digits as its factorization.

252021132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252021132 is about 15875.1734478714. The cubic root of 252021132 is about 631.6536150011.

Adding to 252021132 its reverse (231120252), we get a palindrome (483141384).

The spelling of 252021132 in words is "two hundred fifty-two million, twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 97 99 108 132 162 194 198 243 291 297 324 388 396 486 582 594 729 873 891 972 1067 1164 1188 1458 1746 1782 2134 2187 2619 2673 2916 3201 3492 3564 4268 4374 5238 5346 6402 6561 7857 8019 8748 9603 10476 10692 12804 13122 15714 16038 19206 19683 23571 24057 26244 28809 31428 32076 38412 39366 47142 48114 57618 59049 70713 72171 78732 86427 94284 96228 115236 118098 141426 144342 172854 212139 216513 236196 259281 282852 288684 345708 424278 433026 518562 636417 649539 777843 848556 866052 1037124 1272834 1299078 1555686 1909251 2333529 2545668 2598156 3111372 3818502 4667058 5727753 7000587 7637004 9334116 11455506 14001174 21001761 22911012 28002348 42003522 63005283 84007044 126010566 252021132