Search a number
-
+
222535541100 = 2235219241116193
BaseRepresentation
bin1100111101000000100…
…1101110000101101100
3210021101212212210020210
43033100021232011230
512121223044303400
6250121552542420
722035431614005
oct3172011560554
9707355783223
10222535541100
1186416569834
1237166851a10
1317ca60bb392
14aab102a1ac
155bc6adb950
hex33d026e16c

222535541100 has 144 divisors (see below), whose sum is σ = 678080350080. Its totient is φ = 56192716800.

The previous prime is 222535541069. The next prime is 222535541131. The reversal of 222535541100 is 1145535222.

It is an interprime number because it is at equal distance from previous prime (222535541069) and next prime (222535541131).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13734604 + ... + 13750796.

It is an arithmetic number, because the mean of its divisors is an integer number (4708891320).

Almost surely, 2222535541100 is an apocalyptic number.

222535541100 is a gapful number since it is divisible by the number (20) 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 222535541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339040175040).

222535541100 is an abundant number, since it is smaller than the sum of its proper divisors (455544808980).

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

222535541100 is a wasteful number, since it uses less digits than its factorization.

222535541100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18640 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 222535541100 in words is "two hundred twenty-two billion, five hundred thirty-five million, five hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2411 2850 4822 5700 7233 9644 12055 14466 16193 24110 28932 32386 36165 45809 48220 48579 60275 64772 72330 80965 91618 97158 120550 137427 144660 161930 180825 183236 194316 229045 241100 242895 274854 307667 323860 361650 404825 458090 485790 549708 615334 687135 723300 809650 916180 923001 971580 1145225 1214475 1230668 1374270 1538335 1619300 1846002 2290450 2428950 2748540 3076670 3435675 3692004 4580900 4615005 4857900 6153340 6871350 7691675 9230010 13742700 15383350 18460020 23075025 30766700 39041323 46150050 78082646 92300100 117123969 156165292 195206615 234247938 390413230 468495876 585619845 741785137 780826460 976033075 1171239690 1483570274 1952066150 2225355411 2342479380 2928099225 2967140548 3708925685 3904132300 4450710822 5856198450 7417851370 8901421644 11126777055 11712396900 14835702740 18544628425 22253554110 37089256850 44507108220 55633885275 74178513700 111267770550 222535541100