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223001011112 = 231117978591789
BaseRepresentation
bin1100111110101111100…
…1010110001110101000
3210022121022202010001212
43033223321112032220
512123201224323422
6250240101332252
722053113214305
oct3175371261650
9708538663055
10223001011112
11866352912a0
1237276707088
131804b673619
14ab16b940ac
155c028d39e2
hex33ebe563a8

223001011112 has 128 divisors (see below), whose sum is σ = 488790288000. Its totient is φ = 94255349760.

The previous prime is 223001011109. The next prime is 223001011127. The reversal of 223001011112 is 211110100322.

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, 124650314 + ... + 124652102.

It is an arithmetic number, because the mean of its divisors is an integer number (3818674125).

Almost surely, 2223001011112 is an apocalyptic number.

223001011112 is a gapful number since it is divisible by the number (22) 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 223001011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244395144000).

223001011112 is an abundant number, since it is smaller than the sum of its proper divisors (265789276888).

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

223001011112 is a wasteful number, since it uses less digits than its factorization.

223001011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 223001011112 its reverse (211110100322), we get a palindrome (434111111434).

The spelling of 223001011112 in words is "two hundred twenty-three billion, one million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 97 136 187 194 374 388 748 776 859 1067 1496 1649 1718 1789 2134 3298 3436 3578 4268 6596 6872 7156 8536 9449 13192 14312 14603 18139 18898 19679 29206 30413 36278 37796 39358 58412 60826 72556 75592 78716 83323 116824 121652 145112 157432 160633 166646 173533 243304 321266 333292 334543 347066 642532 666584 669086 694132 916553 1285064 1338172 1388264 1416491 1536751 1833106 1908863 2676344 2832982 2950061 3073502 3666212 3817726 5665964 5900122 6147004 7332424 7635452 11331928 11800244 12294008 15270904 15581401 16904261 23600488 26124767 31162802 32450671 33808522 52249534 62325604 64901342 67617044 104499068 124651208 129802684 135234088 149064847 208998136 259605368 287372437 298129694 574744874 596259388 1149489748 1192518776 1639713317 2298979496 2534102399 3279426634 5068204798 6558853268 10136409596 13117706536 20272819192 27875126389 55750252778 111500505556 223001011112