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38223820292229 = 3211131631601113809
BaseRepresentation
bin10001011000011101011010…
…01110110000000010000101
312000100011100202110001211100
420230032231032300002011
520002224340443322404
6213143440340530313
711023402620452535
oct1054165516600205
9160304322401740
1038223820292229
11111a76a4075610
1243540480b0999
13184364c34aa40
149620855274c5
15464451507d39
hex22c3ad3b0085

38223820292229 has 96 divisors (see below), whose sum is σ = 65303944917120. Its totient is φ = 21239304192000.

The previous prime is 38223820292153. The next prime is 38223820292249. The reversal of 38223820292229 is 92229202832283.

38223820292229 is a `hidden beast` number, since 3 + 82 + 2 + 38 + 20 + 292 + 229 = 666.

It is not a de Polignac number, because 38223820292229 - 213 = 38223820284037 is a prime.

It is a super-2 number, since 2×382238202922292 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38223820292249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 335802477 + ... + 335916285.

It is an arithmetic number, because the mean of its divisors is an integer number (680249426220).

Almost surely, 238223820292229 is an apocalyptic number.

38223820292229 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

38223820292229 is a deficient number, since it is larger than the sum of its proper divisors (27080124624891).

38223820292229 is a wasteful number, since it uses less digits than its factorization.

38223820292229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115603 (or 115600 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38223820292229 in words is "thirty-eight trillion, two hundred twenty-three billion, eight hundred twenty million, two hundred ninety-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 163 429 489 1287 1467 1601 1793 2119 4803 5379 6357 14409 16137 17611 19071 20813 23309 52833 62439 69927 113809 158499 187317 209781 228943 260963 341427 686829 782889 1024281 1251899 1479517 2060487 2348667 2870593 3392519 3755697 4438551 8611779 10177557 11267091 13315653 16274687 18550867 25835337 30532671 37317709 48824061 55652601 111953127 146472183 166957803 182208209 204059537 241161271 335859381 546624627 612178611 723483813 1639873881 1836535833 2004290299 2170451439 2368706717 2652773981 6012870897 7106120151 7958321943 18038612691 21318360453 23874965829 26055773887 29699938067 78167321661 89099814201 234501964983 267299442603 326699318737 386099194871 980097956211 1158297584613 2940293868633 3474892753839 4247091143581 12741273430743 38223820292229