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2250232152 = 233759379599
BaseRepresentation
bin1000011000011111…
…1101000101011000
312210211012122012120
42012013331011120
514102024412102
61011142141240
7106522441410
oct20607750530
95724178176
102250232152
11a552197a3
12529721820
1329b26b61c
14174bd5640
15d28406bc
hex861fd158

2250232152 has 128 divisors (see below), whose sum is σ = 6566400000. Its totient is φ = 629306496.

The previous prime is 2250232141. The next prime is 2250232169. The reversal of 2250232152 is 2512320522.

It is a super-2 number, since 2×22502321522 = 10127089475789102208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3756349 + ... + 3756947.

It is an arithmetic number, because the mean of its divisors is an integer number (51300000).

Almost surely, 22250232152 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 2250232152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200000).

2250232152 is an abundant number, since it is smaller than the sum of its proper divisors (4316167848).

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

2250232152 is a wasteful number, since it uses less digits than its factorization.

2250232152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2250232152 is about 47436.6119363514. The cubic root of 2250232152 is about 1310.4157629883.

Adding to 2250232152 its reverse (2512320522), we get a palindrome (4762552674).

The spelling of 2250232152 in words is "two billion, two hundred fifty million, two hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 379 413 472 599 708 758 826 1137 1198 1239 1416 1516 1652 1797 2274 2396 2478 2653 3032 3304 3594 4193 4548 4792 4956 5306 7188 7959 8386 9096 9912 10612 12579 14376 15918 16772 21224 22361 25158 31836 33544 35341 44722 50316 63672 67083 70682 89444 100632 106023 134166 141364 156527 178888 212046 227021 247387 268332 282728 313054 424092 454042 469581 494774 536664 626108 681063 742161 848184 908084 939162 989548 1252216 1362126 1484322 1589147 1816168 1878324 1979096 2724252 2968644 3178294 3756648 4767441 5448504 5937288 6356588 9534882 12713176 13394239 19069764 26788478 38139528 40182717 53576956 80365434 93759673 107153912 160730868 187519346 281279019 321461736 375038692 562558038 750077384 1125116076 2250232152