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3898223136 = 253243314779
BaseRepresentation
bin1110100001011010…
…0010101000100000
3101001200012020211200
43220112202220200
530440421120021
61442452241200
7165413231013
oct35026425040
911050166750
103898223136
111720499815
12909610200
134a1808212
1428da1d37a
1517c36e126
hexe85a2a20

3898223136 has 72 divisors (see below), whose sum is σ = 11343412080. Its totient is φ = 1269184896.

The previous prime is 3898223129. The next prime is 3898223143. The reversal of 3898223136 is 6313228983.

3898223136 is a `hidden beast` number, since 389 + 8 + 2 + 231 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (3898223129) and next prime (3898223143).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×38982231362 = 30392287236091348992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3898223091 and 3898223100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145006 + ... + 169773.

It is an arithmetic number, because the mean of its divisors is an integer number (157547390).

Almost surely, 23898223136 is an apocalyptic number.

3898223136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3898223136 is an abundant number, since it is smaller than the sum of its proper divisors (7445188944).

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

3898223136 is a wasteful number, since it uses less digits than its factorization.

3898223136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314838 (or 314827 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 3898223136 is about 62435.7520656234. The cubic root of 3898223136 is about 1573.8218297046.

The spelling of 3898223136 in words is "three billion, eight hundred ninety-eight million, two hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 314779 629558 944337 1259116 1888674 2518232 2833011 3777348 5036464 5666022 7554696 10072928 11332044 13535497 15109392 22664088 27070994 30218784 40606491 45328176 54141988 81212982 90656352 108283976 121819473 162425964 216567952 243638946 324851928 433135904 487277892 649703856 974555784 1299407712 1949111568 3898223136