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212000132220 = 223559131457153
BaseRepresentation
bin1100010101110000110…
…0010100110001111100
3202021012122122120012220
43011130030110301330
511433134013212340
6241220322325340
721213363251142
oct3053414246174
9667178576186
10212000132220
11819aa603148
12351064b9850
1316cb74cbc26
14a391b35592
1557abc1ded0
hex315c314c7c

212000132220 has 96 divisors (see below), whose sum is σ = 608270826240. Its totient is φ = 55150817280.

The previous prime is 212000132213. The next prime is 212000132237. The reversal of 212000132220 is 22231000212.

It is a happy number.

It is a super-2 number, since 2×2120001322202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212000132220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235164 + ... + 692316.

It is an arithmetic number, because the mean of its divisors is an integer number (6336154440).

Almost surely, 2212000132220 is an apocalyptic number.

212000132220 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 212000132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304135413120).

212000132220 is an abundant number, since it is smaller than the sum of its proper divisors (396270694020).

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

212000132220 is a wasteful number, since it uses less digits than its factorization.

212000132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457355 (or 457353 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212000132220 its reverse (22231000212), we get a palindrome (234231132432).

The spelling of 212000132220 in words is "two hundred twelve billion, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 131 177 236 262 295 354 393 524 590 655 708 786 885 1180 1310 1572 1770 1965 2620 3540 3930 7729 7860 15458 23187 30916 38645 46374 77290 92748 115935 154580 231870 457153 463740 914306 1371459 1828612 2285765 2742918 4571530 5485836 6857295 9143060 13714590 26972027 27429180 53944054 59887043 80916081 107888108 119774086 134860135 161832162 179661129 239548172 269720270 299435215 323664324 359322258 404580405 539440540 598870430 718644516 809160810 898305645 1197740860 1618321620 1796611290 3533335537 3593222580 7066671074 10600006611 14133342148 17666677685 21200013222 35333355370 42400026444 53000033055 70666710740 106000066110 212000132220