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252022640 = 2457939877
BaseRepresentation
bin11110000010110…
…00111101110000
3122120020002001212
433001120331300
51004004211030
641001415252
76150104612
oct1701307560
9576202055
10252022640
1111a295381
127049a528
13402a022c
1425684db2
15171d3595
hexf058f70

252022640 has 40 divisors (see below), whose sum is σ = 593384640. Its totient is φ = 99530496.

The previous prime is 252022627. The next prime is 252022663. The reversal of 252022640 is 46220252.

252022640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2520226402 = 127030822145139200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13619 + ... + 26258.

It is an arithmetic number, because the mean of its divisors is an integer number (14834616).

Almost surely, 2252022640 is an apocalyptic number.

252022640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252022640 is an abundant number, since it is smaller than the sum of its proper divisors (341362000).

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

252022640 is a wasteful number, since it uses less digits than its factorization.

252022640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39969 (or 39963 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 252022640 is about 15875.2209433444. The cubic root of 252022640 is about 631.6548748581.

Adding to 252022640 its reverse (46220252), we get a palindrome (298242892).

The spelling of 252022640 in words is "two hundred fifty-two million, twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 39877 79754 159508 199385 319016 398770 638032 797540 1595080 3150283 3190160 6300566 12601132 15751415 25202264 31502830 50404528 63005660 126011320 252022640