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2072271384 = 233331309479
BaseRepresentation
bin111101110000100…
…0101101000011000
312100102100021221000
41323201011220120
513221000141014
6541343545000
7102232005351
oct17341055030
95312307830
102072271384
1197381a187
12499bbb160
1327042c9b1
1415930cd28
15c1ddb509
hex7b845a18

2072271384 has 64 divisors (see below), whose sum is σ = 5942016000. Its totient is φ = 668472480.

The previous prime is 2072271373. The next prime is 2072271419. The reversal of 2072271384 is 4831722702.

2072271384 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 271 + 384 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148044 + ... + 161435.

It is an arithmetic number, because the mean of its divisors is an integer number (92844000).

Almost surely, 22072271384 is an apocalyptic number.

2072271384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2072271384 is an abundant number, since it is smaller than the sum of its proper divisors (3869744616).

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

2072271384 is a wasteful number, since it uses less digits than its factorization.

2072271384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309525 (or 309515 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2072271384 is about 45522.2075914602. The cubic root of 2072271384 is about 1274.9178742950.

The spelling of 2072271384 in words is "two billion, seventy-two million, two hundred seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 309479 618958 928437 1237916 1856874 2475832 2785311 3713748 5570622 7427496 8355933 9593849 11141244 16711866 19187698 22282488 28781547 33423732 38375396 57563094 66847464 76750792 86344641 115126188 172689282 230252376 259033923 345378564 518067846 690757128 1036135692 2072271384