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22220103432 = 23319371379613
BaseRepresentation
bin10100101100011010…
…111101111100001000
32010100120001012121210
4110230122331330020
5331001321302212
614112513533120
71414430522442
oct245432757410
963316035553
1022220103432
11947273a64a
1243815741a0
1321316277c7
14110b0b7492
158a0b0953c
hex52c6bdf08

22220103432 has 128 divisors (see below), whose sum is σ = 60498979200. Its totient is φ = 6776690688.

The previous prime is 22220103383. The next prime is 22220103491. The reversal of 22220103432 is 23430102222.

It is a junction number, because it is equal to n+sod(n) for n = 22220103399 and 22220103408.

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, 2306658 + ... + 2316270.

It is an arithmetic number, because the mean of its divisors is an integer number (472648275).

Almost surely, 222220103432 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 22220103432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30249489600).

22220103432 is an abundant number, since it is smaller than the sum of its proper divisors (38278875768).

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

22220103432 is a wasteful number, since it uses less digits than its factorization.

22220103432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9815 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 22220103432 its reverse (23430102222), we get a palindrome (45650205654).

The spelling of 22220103432 in words is "twenty-two billion, two hundred twenty million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 137 148 152 222 228 274 296 411 444 456 548 703 822 888 1096 1406 1644 2109 2603 2812 3288 4218 5069 5206 5624 7809 8436 9613 10138 10412 15207 15618 16872 19226 20276 20824 28839 30414 31236 38452 40552 57678 60828 62472 76904 96311 115356 121656 182647 192622 230712 288933 355681 365294 385244 547941 577866 711362 730588 770488 1067043 1095882 1155732 1316981 1422724 1461176 2134086 2191764 2311464 2633962 2845448 3950943 4268172 4383528 5267924 6757939 7901886 8536344 10535848 13515878 15803772 20273817 25022639 27031756 31607544 40547634 48728297 50045278 54063512 75067917 81095268 97456594 100090556 146184891 150135834 162190536 194913188 200181112 292369782 300271668 389826376 584739564 600543336 925837643 1169479128 1851675286 2777512929 3703350572 5555025858 7406701144 11110051716 22220103432