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23474242000 = 245311297001
BaseRepresentation
bin10101110111001011…
…001000000111010000
32020120221221001022101
4111313023020013100
5341033401221000
614441154250144
71460466523216
oct256713100720
966527831271
1023474242000
119a56663500
124671586954
1322a13c6031
1411c989acb6
15925c8ae6a
hex5772c81d0

23474242000 has 120 divisors (see below), whose sum is σ = 62390522376. Its totient is φ = 8536000000.

The previous prime is 23474241911. The next prime is 23474242069. The reversal of 23474242000 is 24247432.

It can be written as a sum of positive squares in 4 ways, for example, as 149621824 + 23324620176 = 12232^2 + 152724^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23474242000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193500 + ... + 290500.

Almost surely, 223474242000 is an apocalyptic number.

23474242000 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 23474242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31195261188).

23474242000 is an abundant number, since it is smaller than the sum of its proper divisors (38916280376).

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

23474242000 is a wasteful number, since it uses less digits than its factorization.

23474242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97046 (or 97019 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

Adding to 23474242000 its reverse (24247432), we get a palindrome (23498489432).

The spelling of 23474242000 in words is "twenty-three billion, four hundred seventy-four million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 880 968 1000 1100 1210 1375 1936 2000 2200 2420 2750 3025 4400 4840 5500 6050 9680 11000 12100 15125 22000 24200 30250 48400 60500 97001 121000 194002 242000 388004 485005 776008 970010 1067011 1552016 1940020 2134022 2425025 3880040 4268044 4850050 5335055 7760080 8536088 9700100 10670110 11737121 12125125 17072176 19400200 21340220 23474242 24250250 26675275 38800400 42680440 46948484 48500500 53350550 58685605 85360880 93896968 97001000 106701100 117371210 133376375 187793936 194002000 213402200 234742420 266752750 293428025 426804400 469484840 533505500 586856050 938969680 1067011000 1173712100 1467140125 2134022000 2347424200 2934280250 4694848400 5868560500 11737121000 23474242000