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221220201222 = 233711013971439
BaseRepresentation
bin1100111000000111000…
…0000110001100000110
3210011000012211121011000
43032001300012030012
512111024332414342
6245343244354130
721661020453606
oct3160160061406
9704005747130
10221220201222
1185901044489
1236a5a245946
1317b26742167
14a9c8474c06
155b4b3bb44c
hex3381c06306

221220201222 has 128 divisors (see below), whose sum is σ = 505079193600. Its totient is φ = 71750448000.

The previous prime is 221220201217. The next prime is 221220201227. The reversal of 221220201222 is 222102022122.

221220201222 is a `hidden beast` number, since 2 + 21 + 220 + 201 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (221220201217) and next prime (221220201227).

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

It is a junction number, because it is equal to n+sod(n) for n = 221220201195 and 221220201204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221220201227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153731179 + ... + 153732617.

It is an arithmetic number, because the mean of its divisors is an integer number (3945931200).

Almost surely, 2221220201222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221220201222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252539596800).

221220201222 is an abundant number, since it is smaller than the sum of its proper divisors (283858992378).

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

221220201222 is a wasteful number, since it uses less digits than its factorization.

221220201222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221220201222 its reverse (222102022122), we get a palindrome (443322223344).

The spelling of 221220201222 in words is "two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 71 101 142 202 213 303 397 426 606 639 794 909 1191 1278 1439 1818 1917 2382 2727 2878 3573 3834 4317 5454 7146 7171 8634 10719 12951 14342 21438 21513 25902 28187 38853 40097 43026 56374 64539 77706 80194 84561 102169 120291 129078 145339 169122 193617 204338 240582 253683 290678 306507 360873 387234 436017 507366 571283 613014 721746 761049 872034 919521 1082619 1142566 1308051 1522098 1713849 1839042 2165238 2616102 2758563 2846887 3427698 3924153 5141547 5517126 5693774 7848306 8540661 10283094 10319069 15424641 17081322 20638138 25621983 30849282 30957207 40561093 51243966 57699583 61914414 76865949 81122186 92871621 115399166 121683279 153731898 173098749 185743242 243366558 278614863 346197498 365049837 519296247 557229726 730099674 1038592494 1095149511 1557888741 2190299022 3115777482 4096670393 8193340786 12290011179 24580022358 36870033537 73740067074 110610100611 221220201222