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202233002130 = 23453128192857
BaseRepresentation
bin1011110001011000000…
…1101011100010010010
3201022222222001221120000
42330112001223202102
511303133122032010
6232523215030430
720416344104205
oct2742601534222
9638888057500
10202233002130
1178848291805
123323b50b416
13160bbb37103
149b068ad93c
1553d950e7c0
hex2f1606b892

202233002130 has 160 divisors (see below), whose sum is σ = 561719093760. Its totient is φ = 52152387840.

The previous prime is 202233002093. The next prime is 202233002141. The reversal of 202233002130 is 31200332202.

It is a happy number.

202233002130 is a `hidden beast` number, since 202 + 2 + 330 + 0 + 2 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70783662 + ... + 70786518.

It is an arithmetic number, because the mean of its divisors is an integer number (3510744336).

Almost surely, 2202233002130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202233002130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280859546880).

202233002130 is an abundant number, since it is smaller than the sum of its proper divisors (359486091630).

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

202233002130 is a wasteful number, since it uses less digits than its factorization.

202233002130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 202233002130 its reverse (31200332202), we get a palindrome (233433334332).

The spelling of 202233002130 in words is "two hundred two billion, two hundred thirty-three million, two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 270 279 310 405 465 558 810 837 930 1395 1674 2511 2790 2819 2857 4185 5022 5638 5714 8370 8457 8571 12555 14095 14285 16914 17142 25110 25371 25713 28190 28570 42285 42855 50742 51426 76113 77139 84570 85710 87389 88567 126855 128565 152226 154278 174778 177134 228339 231417 253710 257130 262167 265701 380565 385695 436945 442835 456678 462834 524334 531402 761130 771390 786501 797103 873890 885670 1141695 1157085 1310835 1328505 1573002 1594206 2283390 2314170 2359503 2391309 2621670 2657010 3932505 3985515 4719006 4782618 7078509 7173927 7865010 7971030 8053883 11797515 11956545 14157018 14347854 16107766 23595030 23913090 24161649 35392545 35869635 40269415 48323298 70785090 71739270 72484947 80538830 120808245 144969894 217454841 241616490 249670373 362424735 434909682 499340746 652364523 724849470 749011119 1087274205 1248351865 1304729046 1498022238 2174548410 2247033357 2496703730 3261822615 3745055595 4494066714 6523645230 6741100071 7490111190 11235166785 13482200142 20223300213 22470333570 33705500355 40446600426 67411000710 101116501065 202233002130