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212144202330 = 235371271917879
BaseRepresentation
bin1100010110010011000…
…1111010001001011010
3202021120200202002020220
43011210301322021122
511433432403433310
6241242510300510
721220062652464
oct3054461721132
9667520662226
10212144202330
1181a73965155
12351467b7736
131700b302a08
14a3a6d19134
1557b96cb670
hex3164c7a25a

212144202330 has 128 divisors (see below), whose sum is σ = 529850695680. Its totient is φ = 54316604160.

The previous prime is 212144202301. The next prime is 212144202341. The reversal of 212144202330 is 33202441212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212144202330.

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, 26921331 + ... + 26929209.

It is an arithmetic number, because the mean of its divisors is an integer number (4139458560).

Almost surely, 2212144202330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212144202330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264925347840).

212144202330 is an abundant number, since it is smaller than the sum of its proper divisors (317706493350).

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

212144202330 is a wasteful number, since it uses less digits than its factorization.

212144202330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212144202330 its reverse (33202441212), we get a palindrome (245346643542).

The spelling of 212144202330 in words is "two hundred twelve billion, one hundred forty-four million, two hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 127 185 191 222 254 370 381 382 555 573 635 762 955 1110 1146 1270 1905 1910 2865 3810 4699 5730 7067 7879 9398 14097 14134 15758 21201 23495 23637 24257 28194 35335 39395 42402 46990 47274 48514 70485 70670 72771 78790 106005 118185 121285 140970 145542 212010 236370 242570 291523 363855 583046 727710 874569 897509 1000633 1457615 1504889 1749138 1795018 2001266 2692527 2915230 3001899 3009778 4372845 4487545 4514667 5003165 5385054 6003798 7524445 8745690 8975090 9029334 10006330 13462635 15009495 15048890 22573335 26925270 30018990 37023421 45146670 55680893 74046842 111070263 111361786 167042679 185117105 191120903 222140526 278404465 334085358 370234210 382241806 555351315 556808930 573362709 835213395 955604515 1110702630 1146725418 1670426790 1911209030 2866813545 5733627090 7071473411 14142946822 21214420233 35357367055 42428840466 70714734110 106072101165 212144202330