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220221202112 = 2641711577529
BaseRepresentation
bin1100110100011000110…
…1001101111011000000
3210001102121001011222222
43031012031031323000
512102003111431422
6245100200350212
721624200222012
oct3150615157300
9701377034888
10220221202112
118543914468a
123681b775368
13179c7795722
14a9319081b2
155add836842
hex334634dec0

220221202112 has 112 divisors (see below), whose sum is σ = 456917267520. Its totient is φ = 105223372800.

The previous prime is 220221202099. The next prime is 220221202127. The reversal of 220221202112 is 211202122022.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29245964 + ... + 29253492.

It is an arithmetic number, because the mean of its divisors is an integer number (4079618460).

Almost surely, 2220221202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220221202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228458633760).

220221202112 is an abundant number, since it is smaller than the sum of its proper divisors (236696065408).

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

220221202112 is a wasteful number, since it uses less digits than its factorization.

220221202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7800 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220221202112 its reverse (211202122022), we get a palindrome (431423324134).

The spelling of 220221202112 in words is "two hundred twenty billion, two hundred twenty-one million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 71 82 142 157 164 284 314 328 568 628 656 1136 1256 1312 2272 2512 2624 2911 4544 5024 5822 6437 7529 10048 11147 11644 12874 15058 22294 23288 25748 30116 44588 46576 51496 60232 89176 93152 102992 120464 178352 186304 205984 240928 308689 356704 411968 457027 481856 534559 617378 713408 914054 1069118 1182053 1234756 1828108 2138236 2364106 2469512 3656216 4276472 4728212 4939024 7312432 8552944 9456424 9878048 14624864 17105888 18912848 19756096 21916919 29249728 34211776 37825696 43833838 48464173 75651392 83925763 87667676 96928346 167851526 175335352 193856692 335703052 350670704 387713384 671406104 701341408 775426768 1342812208 1402682816 1550853536 2685624416 3101707072 3440956283 5371248832 6881912566 13763825132 27527650264 55055300528 110110601056 220221202112