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172231221204 = 223271996737199
BaseRepresentation
bin1010000001100111000…
…1111101111111010100
3121110120002102120012200
42200121301331333110
510310212143034304
6211042200444500
715305023140150
oct2403161757724
9543502376180
10172231221204
1167052041739
1229467a79730
131331a29a513
14849c120060
154730682e39
hex2819c7dfd4

172231221204 has 144 divisors (see below), whose sum is σ = 524299776000. Its totient is φ = 46569515328.

The previous prime is 172231221203. The next prime is 172231221221. The reversal of 172231221204 is 402122132271.

It is a happy number.

172231221204 is a `hidden beast` number, since 1 + 7 + 2 + 231 + 221 + 204 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172231221203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4611397 + ... + 4648595.

Almost surely, 2172231221204 is an apocalyptic number.

172231221204 is a gapful number since it is divisible by the number (14) 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 172231221204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262149888000).

172231221204 is an abundant number, since it is smaller than the sum of its proper divisors (352068554796).

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

172231221204 is a wasteful number, since it uses less digits than its factorization.

172231221204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38202 (or 38197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 172231221204 its reverse (402122132271), we get a palindrome (574353353475).

The spelling of 172231221204 in words is "one hundred seventy-two billion, two hundred thirty-one million, two hundred twenty-one thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 967 1197 1596 1934 2394 2901 3868 4788 5802 6769 8703 11604 13538 17406 18373 20307 27076 34812 36746 37199 40614 55119 60921 73492 74398 81228 110238 111597 121842 128611 148796 165357 220476 223194 243684 257222 260393 330714 334791 385833 446388 514444 520786 661428 669582 706781 771666 781179 1041572 1157499 1339164 1413562 1543332 1562358 2120343 2314998 2343537 2827124 3124716 4240686 4629996 4687074 4947467 6361029 8481372 9374148 9894934 12722058 14842401 19789868 25444116 29684802 35971433 44527203 59369604 71942866 89054406 107914299 143885732 178108812 215828598 251800031 323742897 431657196 503600062 647485794 683457227 755400093 1007200124 1294971588 1366914454 1510800186 2050371681 2266200279 2733828908 3021600372 4100743362 4532400558 4784200589 6151115043 8201486724 9064801116 9568401178 12302230086 14352601767 19136802356 24604460172 28705203534 43057805301 57410407068 86115610602 172231221204