Search a number
-
+
222082838796412 = 221123273619211151
BaseRepresentation
bin110010011111101110110000…
…101101111001100001111100
31002010022220121212202021210001
4302133232300231321201330
5213102101123212441122
62104155240411324044
764530645530110456
oct6237566055714174
91063286555667701
10222082838796412
11648428918a3a90
1220aa9185450624
1396bc425100a79
143cbac1c50d2d6
151aa1d3e721527
hexc9fbb0b7987c

222082838796412 has 144 divisors (see below), whose sum is σ = 450010892459520. Its totient is φ = 95080743648000.

The previous prime is 222082838796391. The next prime is 222082838796443. The reversal of 222082838796412 is 214697838280222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1051667037 + ... + 1051878187.

It is an arithmetic number, because the mean of its divisors is an integer number (3125075642080).

Almost surely, 2222082838796412 is an apocalyptic number.

222082838796412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222082838796412 is an abundant number, since it is smaller than the sum of its proper divisors (227928053663108).

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

222082838796412 is a wasteful number, since it uses less digits than its factorization.

222082838796412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211904 (or 211879 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 64.

The spelling of 222082838796412 in words is "two hundred twenty-two trillion, eighty-two billion, eight hundred thirty-eight million, seven hundred ninety-six thousand, four hundred twelve".

Divisors: 1 2 4 11 22 23 44 46 73 92 146 253 292 506 529 619 803 1012 1058 1238 1606 1679 2116 2476 3212 3358 5819 6716 6809 11638 13618 14237 18469 23276 27236 28474 36938 38617 45187 56948 73876 77234 90374 154468 156607 180748 211151 313214 327451 422302 424787 497057 626428 654902 844604 849574 994114 1039301 1309804 1699148 1988228 2078602 2322661 3601961 4157204 4645322 4856473 7203922 9290644 9712946 11432311 14407844 15414023 19425892 22864622 23903923 30828046 45729244 47807846 53421203 61656092 95615692 106842406 111698879 130702469 169554253 213684812 223397758 261404938 262943153 339108506 354522529 446795516 522809876 525886306 678217012 709045058 1051772612 1228687669 1418090116 1437727159 2457375338 2875454318 3006156787 3899747819 4914750676 5750908636 6012313574 7799495638 8154018167 9541280237 12024627148 15598991276 16308036334 19082560474 32616072668 33067724657 38165120948 66135449314 69141606101 89694199837 104954082607 132270898628 138283212202 179388399674 209908165214 219449445451 276566424404 358776799348 419816330428 438898890902 760557667111 877797781804 1521115334222 2413943899961 3042230668444 4827887799922 5047337245373 9655775599844 10094674490746 20189348981492 55520709699103 111041419398206 222082838796412