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252155000 = 2354293747
BaseRepresentation
bin11110000011110…
…01010001111000
3122120110210122002
433001321101320
51004022430000
641004320132
76151165526
oct1701712170
9576423562
10252155000
1111a375869
1270543048
1340318556
14256bb316
151720c8d5
hexf079478

252155000 has 160 divisors (see below), whose sum is σ = 641044800. Its totient is φ = 92736000.

The previous prime is 252154997. The next prime is 252155011. The reversal of 252155000 is 551252.

252155000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5364977 + ... + 5365023.

It is an arithmetic number, because the mean of its divisors is an integer number (4006530).

Almost surely, 2252155000 is an apocalyptic number.

252155000 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 252155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320522400).

252155000 is an abundant number, since it is smaller than the sum of its proper divisors (388889800).

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

252155000 is a wasteful number, since it uses less digits than its factorization.

252155000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 252155000 is about 15879.3891570173. The cubic root of 252155000 is about 631.7654353051.

The spelling of 252155000 in words is "two hundred fifty-two million, one hundred fifty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 29 37 40 47 50 58 74 94 100 116 125 145 148 185 188 200 232 235 250 290 296 370 376 470 500 580 625 725 740 925 940 1000 1073 1160 1175 1250 1363 1450 1480 1739 1850 1880 2146 2350 2500 2726 2900 3478 3625 3700 4292 4625 4700 5000 5365 5452 5800 5875 6815 6956 7250 7400 8584 8695 9250 9400 10730 10904 11750 13630 13912 14500 17390 18125 18500 21460 23125 23500 26825 27260 29000 29375 34075 34780 36250 37000 42920 43475 46250 47000 50431 53650 54520 58750 68150 69560 72500 86950 92500 100862 107300 117500 134125 136300 145000 170375 173900 185000 201724 214600 217375 235000 252155 268250 272600 340750 347800 403448 434750 504310 536500 670625 681500 851875 869500 1008620 1073000 1086875 1260775 1341250 1363000 1703750 1739000 2017240 2173750 2521550 2682500 3407500 4347500 5043100 5365000 6303875 6815000 8695000 10086200 12607750 25215500 31519375 50431000 63038750 126077500 252155000