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22213153160 = 23511472414457
BaseRepresentation
bin10100101100000000…
…011101000110001000
32010100001222002122022
4110230000131012020
5330443031400120
614112104544012
71414314454322
oct245400350610
963301862568
1022213153160
119469822820
12437b182008
132130063113
14110a1c8612
158a01d5025
hex52c01d188

22213153160 has 128 divisors (see below), whose sum is σ = 55926858240. Its totient is φ = 7871078400.

The previous prime is 22213153153. The next prime is 22213153181. The reversal of 22213153160 is 6135131222.

It is a happy 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, 4981652 + ... + 4986108.

It is an arithmetic number, because the mean of its divisors is an integer number (436928580).

Almost surely, 222213153160 is an apocalyptic number.

22213153160 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 22213153160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27963429120).

22213153160 is an abundant number, since it is smaller than the sum of its proper divisors (33713705080).

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

22213153160 is a wasteful number, since it uses less digits than its factorization.

22213153160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 22213153160 its reverse (6135131222), we get a palindrome (28348284382).

The spelling of 22213153160 in words is "twenty-two billion, two hundred thirteen million, one hundred fifty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 241 376 440 470 482 517 940 964 1034 1205 1880 1928 2068 2410 2585 2651 4136 4457 4820 5170 5302 8914 9640 10340 10604 11327 13255 17828 20680 21208 22285 22654 26510 35656 44570 45308 49027 53020 56635 89140 90616 98054 106040 113270 124597 178280 196108 209479 226540 245135 249194 392216 418958 453080 490270 498388 622985 837916 980540 996776 1047395 1074137 1245970 1675832 1961080 2094790 2148274 2304269 2491940 4189580 4296548 4608538 4983880 5370685 8379160 8593096 9217076 10741370 11521345 11815507 18434152 21482740 23042690 23631014 42965480 46085380 47262028 50484439 59077535 92170760 94524056 100968878 118155070 201937756 236310140 252422195 403875512 472620280 504844390 555328829 1009688780 1110657658 2019377560 2221315316 2776644145 4442630632 5553288290 11106576580 22213153160