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220022111320 = 235111095099013
BaseRepresentation
bin1100110011101001010…
…1101111110001011000
3210000220201102022202221
43030322111233301120
512101101130030240
6245024325233424
721616232042254
oct3147225576130
9700821368687
10220022111320
1185346822840
1236784b62874
131799546921b
14a9132c1264
155acb10ba4a
hex333a56fc58

220022111320 has 128 divisors (see below), whose sum is σ = 546140232000. Its totient is φ = 79109498880.

The previous prime is 220022111249. The next prime is 220022111339. The reversal of 220022111320 is 23111220022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220022111294 and 220022111303.

It is a congruent number.

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, 24407134 + ... + 24416146.

Almost surely, 2220022111320 is an apocalyptic number.

220022111320 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 220022111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273070116000).

220022111320 is an abundant number, since it is smaller than the sum of its proper divisors (326118120680).

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

220022111320 is a wasteful number, since it uses less digits than its factorization.

220022111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9653 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220022111320 its reverse (23111220022), we get a palindrome (243133331342).

The spelling of 220022111320 in words is "two hundred twenty billion, twenty-two million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 509 545 872 1018 1090 1199 2036 2180 2398 2545 4072 4360 4796 5090 5599 5995 9013 9592 10180 11198 11990 18026 20360 22396 23980 27995 36052 44792 45065 47960 55481 55990 72104 90130 99143 110962 111980 180260 198286 221924 223960 277405 360520 396572 443848 495715 554810 610291 793144 982417 991430 1109620 1220582 1964834 1982860 2219240 2441164 3051455 3929668 3965720 4587617 4882328 4912085 6102910 7859336 9175234 9824170 10806587 12205820 18350468 19648340 21613174 22938085 24411640 36700936 39296680 43226348 45876170 50463787 54032935 86452696 91752340 100927574 108065870 183504680 201855148 216131740 252318935 403710296 432263480 500050253 504637870 1000100506 1009275740 2000201012 2018551480 2500251265 4000402024 5000502530 5500552783 10001005060 11001105566 20002010120 22002211132 27502763915 44004422264 55005527830 110011055660 220022111320