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23340233440 = 255373979931
BaseRepresentation
bin10101101111001011…
…111011001011100000
32020020121202201010101
4111233023323023200
5340300044432230
614420010112144
71454251465546
oct255713731340
966217681111
1023340233440
119997a53927
12463471b654
13227c705b24
1411b5b75d96
15919119aca
hex56f2fb2e0

23340233440 has 96 divisors (see below), whose sum is σ = 56779972704. Its totient is φ = 9059973120.

The previous prime is 23340233437. The next prime is 23340233489. The reversal of 23340233440 is 4433204332.

It is a junction number, because it is equal to n+sod(n) for n = 23340233399 and 23340233408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2345275 + ... + 2355205.

It is an arithmetic number, because the mean of its divisors is an integer number (591458049).

Almost surely, 223340233440 is an apocalyptic number.

23340233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23340233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28389986352).

23340233440 is an abundant number, since it is smaller than the sum of its proper divisors (33439739264).

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

23340233440 is a wasteful number, since it uses less digits than its factorization.

23340233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10372 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 23340233440 its reverse (4433204332), we get a palindrome (27773437772).

The spelling of 23340233440 in words is "twenty-three billion, three hundred forty million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 397 592 740 794 1184 1480 1588 1985 2960 3176 3970 5920 6352 7940 9931 12704 14689 15880 19862 29378 31760 39724 49655 58756 63520 73445 79448 99310 117512 146890 158896 198620 235024 293780 317792 367447 397240 470048 587560 734894 794480 1175120 1469788 1588960 1837235 2350240 2939576 3674470 3942607 5879152 7348940 7885214 11758304 14697880 15770428 19713035 29395760 31540856 39426070 58791520 63081712 78852140 126163424 145876459 157704280 291752918 315408560 583505836 630817120 729382295 1167011672 1458764590 2334023344 2917529180 4668046688 5835058360 11670116720 23340233440