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20152242 = 23211175987
BaseRepresentation
bin100110011011…
…1111110110010
31101220211200100
41030313332302
520124332432
61555533230
7333201615
oct114677662
941824610
1020152242
1110414750
1268ba216
134237806
14296817c
151b8107c
hex1337fb2

20152242 has 48 divisors (see below), whose sum is σ = 50442912. Its totient is φ = 5746560.

The previous prime is 20152213. The next prime is 20152261. The reversal of 20152242 is 24225102.

It is a super-2 number, since 2×201522422 = 812225715253128, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373 + ... + 6359.

It is an arithmetic number, because the mean of its divisors is an integer number (1050894).

Almost surely, 220152242 is an apocalyptic number.

20152242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20152242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221456).

20152242 is an abundant number, since it is smaller than the sum of its proper divisors (30290670).

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

20152242 is a wasteful number, since it uses less digits than its factorization.

20152242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6023 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20152242 is about 4489.1248590343. The cubic root of 20152242 is about 272.1287686863.

Adding to 20152242 its reverse (24225102), we get a palindrome (44377344).

It can be divided in two parts, 20152 and 242, that multiplied together give a palindrome (4876784).

The spelling of 20152242 in words is "twenty million, one hundred fifty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 5987 11974 17961 35922 53883 65857 101779 107766 131714 197571 203558 305337 395142 592713 610674 916011 1119569 1185426 1832022 2239138 3358707 6717414 10076121 20152242