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245133632 = 2623241691
BaseRepresentation
bin11101001110001…
…11000101000000
3122002021002010102
432213013011000
51000223234012
640154021532
76034413212
oct1647070500
9562232112
10245133632
1111640a587
126a1178a8
133ba2a6b3
14247b05b2
15167c22c2
hexe9c7140

245133632 has 56 divisors (see below), whose sum is σ = 510430272. Its totient is φ = 116582400.

The previous prime is 245133631. The next prime is 245133661. The reversal of 245133632 is 236331542.

It is a super-2 number, since 2×2451336322 = 120180995075022848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245133595 and 245133604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245133631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354407 + ... + 355097.

Almost surely, 2245133632 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 245133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255215136).

245133632 is an abundant number, since it is smaller than the sum of its proper divisors (265296640).

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

245133632 is a wasteful number, since it uses less digits than its factorization.

245133632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 957 counting only the distinct ones).

The product of its digits is 12960, while the sum is 29.

The square root of 245133632 is about 15656.7439782351. The cubic root of 245133632 is about 625.8462197157.

The spelling of 245133632 in words is "two hundred forty-five million, one hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 241 368 482 691 736 964 1382 1472 1928 2764 3856 5528 5543 7712 11056 11086 15424 15893 22112 22172 31786 44224 44344 63572 88688 127144 166531 177376 254288 333062 354752 508576 666124 1017152 1332248 2664496 3830213 5328992 7660426 10657984 15320852 30641704 61283408 122566816 245133632