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10221222132 = 223211191337401
BaseRepresentation
bin10011000010011101…
…10111100011110100
3222101100000212211200
421201032313203310
5131413113102012
64410124132500
7511201645302
oct114116674364
928340025750
1010221222132
114375682520
121b93097130
13c6b795244
146cd6ab272
153ec50a3dc
hex2613b78f4

10221222132 has 144 divisors (see below), whose sum is σ = 28488305664. Its totient is φ = 3064320000.

The previous prime is 10221222113. The next prime is 10221222181. The reversal of 10221222132 is 23122212201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 25489132 + ... + 25489532.

It is an arithmetic number, because the mean of its divisors is an integer number (197835456).

Almost surely, 210221222132 is an apocalyptic number.

10221222132 is a gapful number since it is divisible by the number (12) 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 10221222132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244152832).

10221222132 is an abundant number, since it is smaller than the sum of its proper divisors (18267083532).

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

10221222132 is a wasteful number, since it uses less digits than its factorization.

10221222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10221222132 its reverse (23122212201), we get a palindrome (33343434333).

The spelling of 10221222132 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 337 382 396 401 573 674 764 802 1011 1146 1203 1348 1604 1719 2022 2101 2292 2406 3033 3438 3609 3707 4044 4202 4411 4812 6066 6303 6876 7218 7414 8404 8822 11121 12132 12606 13233 14436 14828 17644 18909 22242 25212 26466 33363 37818 39699 44484 52932 64367 66726 75636 76591 79398 128734 133452 135137 153182 158796 193101 229773 257468 270274 306364 386202 405411 459546 540548 579303 689319 708037 772404 810822 842501 919092 1158606 1216233 1378638 1416074 1486507 1621644 1685002 2124111 2317212 2432466 2527503 2757276 2832148 2973014 3370004 4248222 4459521 4864932 5055006 5946028 6372333 7582509 8496444 8919042 10110012 12744666 13378563 15165018 17838084 25489332 25811167 26757126 30330036 51622334 53514252 77433501 103244668 154867002 232300503 283922837 309734004 464601006 567845674 851768511 929202012 1135691348 1703537022 2555305533 3407074044 5110611066 10221222132