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22196214832 = 24112171993389
BaseRepresentation
bin10100101010111111…
…110101110000110000
32010021220002112121211
4110222333311300300
5330424212333312
614110301525504
71414020466411
oct245277656060
963256075554
1022196214832
119460203800
124375573894
1321296b243c
141107c59808
1589d98b3a7
hex52aff5c30

22196214832 has 120 divisors (see below), whose sum is σ = 50317092000. Its totient is φ = 9445201920.

The previous prime is 22196214809. The next prime is 22196214857. The reversal of 22196214832 is 23841269122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6547794 + ... + 6551182.

It is an arithmetic number, because the mean of its divisors is an integer number (419309100).

Almost surely, 222196214832 is an apocalyptic number.

22196214832 is a gapful number since it is divisible by the number (22) 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 22196214832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158546000).

22196214832 is an abundant number, since it is smaller than the sum of its proper divisors (28120877168).

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

22196214832 is a wasteful number, since it uses less digits than its factorization.

22196214832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3618 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The spelling of 22196214832 in words is "twenty-two billion, one hundred ninety-six million, two hundred fourteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 199 242 272 374 398 484 748 796 968 1496 1592 1936 2057 2189 2992 3184 3383 3389 4114 4378 6766 6778 8228 8756 13532 13556 16456 17512 24079 27064 27112 32912 35024 37213 37279 48158 54128 54224 57613 74426 74558 96316 115226 148852 149116 192632 230452 297704 298232 385264 409343 410069 460904 595408 596464 633743 674411 818686 820138 921808 1267486 1348822 1637372 1640276 2534972 2697644 3274744 3280552 5069944 5395288 6549488 6561104 6971173 7418521 10139888 10790576 11464987 13942346 14837042 22929974 27884692 29674084 45859948 55769384 59348168 81603731 91719896 111538768 118696336 126114857 163207462 183439792 252229714 326414924 504459428 652829848 1008918856 1305659696 1387263427 2017837712 2774526854 5549053708 11098107416 22196214832