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114222201320232 = 233219158393527143
BaseRepresentation
bin11001111110001001101101…
…101111000011001100101000
3112222102112110121020002110100
4121332021231233003030220
5104432404032014221412
61042532542131145400
733026165425552065
oct3176115557031450
9488375417202410
10114222201320232
11334383aa9734a5
1210989040145260
134b97151b68225
14202c553b49c6c
15d312acc8aedc
hex67e26dbc3328

114222201320232 has 96 divisors (see below), whose sum is σ = 325636142270400. Its totient is φ = 36069872686848.

The previous prime is 114222201320131. The next prime is 114222201320257. The reversal of 114222201320232 is 232023102222411.

114222201320232 is a `hidden beast` number, since 1 + 1 + 4 + 222 + 201 + 3 + 2 + 0 + 232 = 666.

It is a super-2 number, since 2×1142222013202322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114222201320196 and 114222201320205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216418053 + ... + 216945195.

It is an arithmetic number, because the mean of its divisors is an integer number (3392043148650).

Almost surely, 2114222201320232 is an apocalyptic number.

114222201320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114222201320232 is an abundant number, since it is smaller than the sum of its proper divisors (211413940950168).

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

114222201320232 is a wasteful number, since it uses less digits than its factorization.

114222201320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685567 (or 685560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114222201320232 its reverse (232023102222411), we get a palindrome (346245303542643).

The spelling of 114222201320232 in words is "one hundred fourteen trillion, two hundred twenty-two billion, two hundred one million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 158393 316786 475179 527143 633572 950358 1054286 1267144 1425537 1581429 1900716 2108572 2851074 3009467 3162858 3801432 4217144 4744287 5702148 6018934 6325716 9028401 9488574 10015717 11404296 12037868 12651432 18056802 18977148 20031434 24075736 27085203 30047151 36113604 37954296 40062868 54170406 60094302 72227208 80125736 90141453 108340812 120188604 180282906 216681624 240377208 360565812 721131624 83495761199 166991522398 250487283597 333983044796 500974567194 667966089592 751461850791 1001949134388 1502923701582 1586419462781 2003898268776 3005847403164 3172838925562 4759258388343 6011694806328 6345677851124 9518516776686 12691355702248 14277775165029 19037033553372 28555550330058 38074067106744 57111100660116 114222201320232