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252153330 = 2351113531109
BaseRepresentation
bin11110000011110…
…00110111110010
3122120110201100020
433001320313302
51004022401310
641004304310
76151160622
oct1701706762
9576421306
10252153330
1111a374590
1270542096
1340317870
14256ba882
151720c170
hexf078df2

252153330 has 128 divisors (see below), whose sum is σ = 725034240. Its totient is φ = 55311360.

The previous prime is 252153323. The next prime is 252153371. The reversal of 252153330 is 33351252.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 252153330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226816 + ... + 227924.

It is an arithmetic number, because the mean of its divisors is an integer number (5664330).

Almost surely, 2252153330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252153330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362517120).

252153330 is an abundant number, since it is smaller than the sum of its proper divisors (472880910).

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

252153330 is a wasteful number, since it uses less digits than its factorization.

252153330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 252153330 is about 15879.3365730436. The cubic root of 252153330 is about 631.7640405933.

The spelling of 252153330 in words is "two hundred fifty-two million, one hundred fifty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 53 55 65 66 78 106 110 130 143 159 165 195 265 286 318 330 390 429 530 583 689 715 795 858 1109 1166 1378 1430 1590 1749 2067 2145 2218 2915 3327 3445 3498 4134 4290 5545 5830 6654 6890 7579 8745 10335 11090 12199 14417 15158 16635 17490 20670 22737 24398 28834 33270 36597 37895 43251 45474 58777 60995 72085 73194 75790 86502 113685 117554 121990 144170 158587 176331 182985 216255 227370 293885 317174 352662 365970 432510 475761 587770 646547 764101 792935 881655 951522 1293094 1528202 1585870 1763310 1939641 2292303 2378805 3232735 3820505 3879282 4584606 4757610 6465470 7641010 8405111 9698205 11461515 16810222 19396410 22923030 25215333 42025555 50430666 84051110 126076665 252153330