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23223002440 = 23511213934519
BaseRepresentation
bin10101101000001100…
…101110010101001000
32012221110011202102111
4111220030232111020
5340030042034230
614400221312104
71451326156321
oct255014562510
965843152374
1023223002440
119937863500
124601405634
13226133b381
1411a437b448
1590dbae92a
hex56832e548

23223002440 has 96 divisors (see below), whose sum is σ = 57848616000. Its totient is φ = 8383731840.

The previous prime is 23223002437. The next prime is 23223002447. The reversal of 23223002440 is 4420032232.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23223002447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 655501 + ... + 690019.

It is an arithmetic number, because the mean of its divisors is an integer number (602589750).

Almost surely, 223223002440 is an apocalyptic number.

23223002440 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 23223002440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28924308000).

23223002440 is an abundant number, since it is smaller than the sum of its proper divisors (34625613560).

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

23223002440 is a wasteful number, since it uses less digits than its factorization.

23223002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34691 (or 34676 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 23223002440 its reverse (4420032232), we get a palindrome (27643034672).

The spelling of 23223002440 in words is "twenty-three billion, two hundred twenty-three million, two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 139 220 242 278 440 484 556 605 695 968 1112 1210 1390 1529 2420 2780 3058 4840 5560 6116 7645 12232 15290 16819 30580 33638 34519 61160 67276 69038 84095 134552 138076 168190 172595 276152 336380 345190 379709 672760 690380 759418 1380760 1518836 1898545 3037672 3797090 4176799 4798141 7594180 8353598 9596282 15188360 16707196 19192564 20883995 23990705 33414392 38385128 41767990 47981410 52779551 83535980 95962820 105559102 167071960 191925640 211118204 263897755 422236408 527795510 580575061 1055591020 1161150122 2111182040 2322300244 2902875305 4644600488 5805750610 11611501220 23223002440