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38233240227 = 32713173976917
BaseRepresentation
bin100011100110111000…
…001111001010100011
310122200112120211201100
4203212320033022203
51111300202141402
625321503005443
72522312115450
oct434670171243
9118615524640
1038233240227
111523a7382a6
1274b0299883
1337b4030290
141bc9aa8827
15edb84771c
hex8e6e0f2a3

38233240227 has 96 divisors (see below), whose sum is σ = 72160163712. Its totient is φ = 18930143232.

The previous prime is 38233240207. The next prime is 38233240247. The reversal of 38233240227 is 72204233283.

38233240227 is a `hidden beast` number, since 382 + 33 + 24 + 0 + 227 = 666.

38233240227 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38233240207) and next prime (38233240247).

It is not a de Polignac number, because 38233240227 - 26 = 38233240163 is a prime.

It is a super-4 number, since 4×382332402274 (a number of 43 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38233240191 and 38233240200.

It is not an unprimeable number, because it can be changed into a prime (38233240207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5523973 + ... + 5530889.

It is an arithmetic number, because the mean of its divisors is an integer number (751668372).

Almost surely, 238233240227 is an apocalyptic number.

38233240227 is a deficient number, since it is larger than the sum of its proper divisors (33926923485).

38233240227 is a wasteful number, since it uses less digits than its factorization.

38233240227 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 38233240227 in words is "thirty-eight billion, two hundred thirty-three million, two hundred forty thousand, two hundred twenty-seven".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 397 663 819 1071 1191 1547 1989 2779 3573 4641 5161 6749 6917 8337 13923 15483 20247 20751 25011 36127 46449 47243 48419 60741 62253 87737 89921 108381 117589 141729 145257 263211 269763 325143 352767 425187 435771 614159 629447 789633 809289 823123 1058301 1528657 1842477 1888341 2469369 2746049 4585971 5527431 5665023 7408107 8238147 10700599 13757913 19222343 24714441 32101797 35698637 46682833 57667029 96305391 107095911 140048499 173001087 249890459 321287733 326779831 420145497 606876829 749671377 980339493 1820630487 2249014131 2941018479 4248137803 5461891461 12744413409 38233240227