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2221020160056 = 233441211396197
BaseRepresentation
bin100000010100011111000…
…111100010000000111000
321212022211201021022020000
4200110133013202000320
5242342122130110211
64420153402033000
7316314643603365
oct40243707420070
97768751238200
102221020160056
11786a24a84395
122ba5471a8760
13131597706579
14796d853146c
153cb91a32656
hex2051f1e2038

2221020160056 has 160 divisors (see below), whose sum is σ = 6402860790480. Its totient is φ = 718858022400.

The previous prime is 2221020160013. The next prime is 2221020160067. The reversal of 2221020160056 is 6500610201222.

2221020160056 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 2 + 0 + 1 + 600 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5407750 + ... + 5803946.

Almost surely, 22221020160056 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 2221020160056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3201430395240).

2221020160056 is an abundant number, since it is smaller than the sum of its proper divisors (4181840630424).

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

2221020160056 is a wasteful number, since it uses less digits than its factorization.

2221020160056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396467 (or 396454 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2221020160056 its reverse (6500610201222), we get a palindrome (8721630361278).

The spelling of 2221020160056 in words is "two trillion, two hundred twenty-one billion, twenty million, one hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 211 216 246 324 328 369 422 492 633 648 738 844 984 1107 1266 1476 1688 1899 2214 2532 2952 3321 3798 4428 5064 5697 6642 7596 8651 8856 11394 13284 15192 17091 17302 22788 25953 26568 34182 34604 45576 51906 68364 69208 77859 103812 136728 155718 207624 233577 311436 396197 467154 622872 700731 792394 934308 1188591 1401462 1584788 1868616 2377182 2802924 3169576 3565773 4754364 5605848 7131546 9508728 10697319 14263092 16244077 21394638 28526184 32091957 32488154 42789276 48732231 64183914 64976308 83597567 85578552 97464462 128367828 129952616 146196693 167195134 194928924 250792701 256735656 292393386 334390268 389857848 438590079 501585402 584786772 668780536 752378103 877180158 1003170804 1169573544 1315770237 1504756206 1754360316 2006341608 2257134309 2631540474 3009512412 3427500247 3508720632 4514268618 5263080948 6019024824 6771402927 6855000494 9028537236 10282500741 10526161896 13542805854 13710000988 18057074472 20565001482 27085611708 27420001976 30847502223 41130002964 54171223416 61695004446 82260005928 92542506669 123390008892 185085013338 246780017784 277627520007 370170026676 555255040014 740340053352 1110510080028 2221020160056