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23422752 = 2532167487
BaseRepresentation
bin101100101011…
…0011100100000
31122001222222100
41121112130200
521444012002
62154010400
7403042623
oct131263440
948058870
1023422752
1112248951
127a16a00
134b11322
143179dba
1520ca11c
hex1656720

23422752 has 72 divisors (see below), whose sum is σ = 67144896. Its totient is φ = 7744896.

The previous prime is 23422727. The next prime is 23422757. The reversal of 23422752 is 25722432.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×234227522 = 1097250622507008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23422757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47853 + ... + 48339.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 223422752 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 23422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33572448).

23422752 is an abundant number, since it is smaller than the sum of its proper divisors (43722144).

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

23422752 is a wasteful number, since it uses less digits than its factorization.

23422752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 659 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 23422752 is about 4839.7057761810. The cubic root of 23422752 is about 286.1185222813.

The spelling of 23422752 in words is "twenty-three million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 487 501 668 974 1002 1336 1461 1503 1948 2004 2672 2922 3006 3896 4008 4383 5344 5844 6012 7792 8016 8766 11688 12024 15584 16032 17532 23376 24048 35064 46752 48096 70128 81329 140256 162658 243987 325316 487974 650632 731961 975948 1301264 1463922 1951896 2602528 2927844 3903792 5855688 7807584 11711376 23422752