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23254535440 = 2457317323017
BaseRepresentation
bin10101101010000101…
…000000110100010000
32020000122111210120101
4111222011000310100
5340111130113230
614403305222144
71452161201263
oct255205006420
966018453511
1023254535440
119953640734
12460ba91954
132267a2c056
1411a8628cda
1591183caca
hex56a140d10

23254535440 has 80 divisors (see below), whose sum is σ = 55126636848. Its totient is φ = 9120964608.

The previous prime is 23254535429. The next prime is 23254535441. The reversal of 23254535440 is 4453545232.

It can be written as a sum of positive squares in 8 ways, for example, as 1084516624 + 22170018816 = 32932^2 + 148896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 23254535440.

It is not an unprimeable number, because it can be changed into a prime (23254535441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998812 + ... + 1021828.

Almost surely, 223254535440 is an apocalyptic number.

23254535440 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 23254535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27563318424).

23254535440 is an abundant number, since it is smaller than the sum of its proper divisors (31872101408).

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

23254535440 is a wasteful number, since it uses less digits than its factorization.

23254535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23276 (or 23270 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 37.

The spelling of 23254535440 in words is "twenty-three billion, two hundred fifty-four million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 173 292 346 365 584 692 730 865 1168 1384 1460 1730 2768 2920 3460 5840 6920 12629 13840 23017 25258 46034 50516 63145 92068 101032 115085 126290 184136 202064 230170 252580 368272 460340 505160 920680 1010320 1680241 1841360 3360482 3981941 6720964 7963882 8401205 13441928 15927764 16802410 19909705 26883856 31855528 33604820 39819410 63711056 67209640 79638820 134419280 159277640 290681693 318555280 581363386 1162726772 1453408465 2325453544 2906816930 4650907088 5813633860 11627267720 23254535440