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215554430 = 257213219137
BaseRepresentation
bin11001101100100…
…01100101111110
3120000121022002102
430312101211332
5420140220210
633220025102
75225116400
oct1466214576
9500538072
10215554430
11100747263
1260232192
1335872100
14208b0b70
1513dccea5
hexcd9197e

215554430 has 144 divisors (see below), whose sum is σ = 518212080. Its totient is φ = 64157184.

The previous prime is 215554429. The next prime is 215554447. The reversal of 215554430 is 34455512.

It is a junction number, because it is equal to n+sod(n) for n = 215554393 and 215554402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1573322 + ... + 1573458.

It is an arithmetic number, because the mean of its divisors is an integer number (3598695).

Almost surely, 2215554430 is an apocalyptic number.

215554430 is an abundant number, since it is smaller than the sum of its proper divisors (302657650).

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

215554430 is a wasteful number, since it uses less digits than its factorization.

215554430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 215554430 is about 14681.7720320130. The cubic root of 215554430 is about 599.5871511768.

The spelling of 215554430 in words is "two hundred fifteen million, five hundred fifty-four thousand, four hundred thirty".

Divisors: 1 2 5 7 10 13 14 19 26 35 38 49 65 70 91 95 98 130 133 137 169 182 190 245 247 266 274 338 455 490 494 637 665 685 845 910 931 959 1183 1235 1274 1330 1370 1690 1729 1781 1862 1918 2366 2470 2603 3185 3211 3458 3562 4655 4795 5206 5915 6370 6422 6713 8281 8645 8905 9310 9590 11830 12103 12467 13015 13426 16055 16562 17290 17810 18221 22477 23153 24206 24934 26030 32110 33565 33839 36442 41405 44954 46306 60515 62335 67130 67678 82810 87269 91105 112385 115765 121030 124670 127547 157339 162071 169195 174538 182210 224770 231530 236873 255094 314678 324142 338390 436345 439907 473746 637735 786695 810355 872690 879814 1134497 1184365 1275470 1573390 1620710 1658111 2199535 2268994 2368730 3079349 3316222 4399070 5672485 6158698 8290555 11344970 15396745 16581110 21555443 30793490 43110886 107777215 215554430