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900243232 = 25741831181
BaseRepresentation
bin110101101010001…
…001111100100000
32022201222002112221
4311222021330200
53320430240412
6225155200424
731210640560
oct6552117440
92281862487
10900243232
11422189079
122115a6114
13114680305
14877c0da0
1554078b07
hex35a89f20

900243232 has 96 divisors (see below), whose sum is σ = 2101728384. Its totient is φ = 371558400.

The previous prime is 900243221. The next prime is 900243247. The reversal of 900243232 is 232342009.

It is a junction number, because it is equal to n+sod(n) for n = 900243197 and 900243206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761682 + ... + 762862.

It is an arithmetic number, because the mean of its divisors is an integer number (21893004).

Almost surely, 2900243232 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 900243232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050864192).

900243232 is an abundant number, since it is smaller than the sum of its proper divisors (1201485152).

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

900243232 is a wasteful number, since it uses less digits than its factorization.

900243232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 900243232 is about 30004.0535928064. The cubic root of 900243232 is about 965.5763537766.

The spelling of 900243232 in words is "nine hundred million, two hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 83 112 164 166 224 287 328 332 574 581 656 664 1148 1162 1181 1312 1328 2296 2324 2362 2656 3403 4592 4648 4724 6806 8267 9184 9296 9448 13612 16534 18592 18896 23821 27224 33068 37792 47642 48421 54448 66136 95284 96842 98023 108896 132272 190568 193684 196046 264544 338947 381136 387368 392092 677894 686161 762272 774736 784184 1355788 1372322 1549472 1568368 2711576 2744644 3136736 4018943 5423152 5489288 8037886 10846304 10978576 16075772 21957152 28132601 32151544 56265202 64303088 112530404 128606176 225060808 450121616 900243232