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23920224 = 2531714657
BaseRepresentation
bin101101100111…
…1111001100000
31200000021101020
41123033321200
522110421344
62212405440
7410214156
oct133177140
950007336
1023920224
1112558689
128016880
134c568a3
1432693d6
152177719
hex16cfe60

23920224 has 48 divisors (see below), whose sum is σ = 66488688. Its totient is φ = 7503872.

The previous prime is 23920217. The next prime is 23920229. The reversal of 23920224 is 42202932.

23920224 = T255 + T256 + ... + T542.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 23920194 and 23920203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23920229) 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, 5697 + ... + 8960.

It is an arithmetic number, because the mean of its divisors is an integer number (1385181).

Almost surely, 223920224 is an apocalyptic number.

23920224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23920224 is an abundant number, since it is smaller than the sum of its proper divisors (42568464).

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

23920224 is a wasteful number, since it uses less digits than its factorization.

23920224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14687 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23920224 is about 4890.8306043043. The cubic root of 23920224 is about 288.1299567817.

The spelling of 23920224 in words is "twenty-three million, nine hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 14657 29314 43971 58628 87942 117256 175884 234512 249169 351768 469024 498338 703536 747507 996676 1407072 1495014 1993352 2990028 3986704 5980056 7973408 11960112 23920224