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201650022340 = 2251317277164701
BaseRepresentation
bin1011101111001101000…
…1110010011111000100
3201021111100002111121221
42323303101302133010
511300434401203330
6232345311450124
720366034623524
oct2736321623704
9637440074557
10201650022340
11785791a9428
12330b8226944
131602811a560
149a8d2b7684
1553a3254b7a
hex2ef34727c4

201650022340 has 96 divisors (see below), whose sum is σ = 484611259104. Its totient is φ = 69822259200.

The previous prime is 201650022317. The next prime is 201650022341. The reversal of 201650022340 is 43220056102.

It can be written as a sum of positive squares in 16 ways, for example, as 25194577984 + 176455444356 = 158728^2 + 420066^2 .

It is not an unprimeable number, because it can be changed into a prime (201650022341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141990 + ... + 1306690.

It is an arithmetic number, because the mean of its divisors is an integer number (5048033949).

Almost surely, 2201650022340 is an apocalyptic number.

201650022340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201650022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242305629552).

201650022340 is an abundant number, since it is smaller than the sum of its proper divisors (282961236764).

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

201650022340 is a wasteful number, since it uses less digits than its factorization.

201650022340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165017 (or 165015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 201650022340 its reverse (43220056102), we get a palindrome (244870078442).

The spelling of 201650022340 in words is "two hundred one billion, six hundred fifty million, twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 277 340 442 554 884 1105 1108 1385 2210 2770 3601 4420 4709 5540 7202 9418 14404 18005 18836 23545 36010 47090 61217 72020 94180 122434 164701 244868 306085 329402 612170 658804 823505 1224340 1647010 2141113 2799917 3294020 4282226 5599834 8564452 10705565 11199668 13999585 21411130 27999170 36398921 42822260 45622177 55998340 72797842 91244354 145595684 181994605 182488708 228110885 363989210 456221770 593088301 727978420 775577009 912443540 1186176602 1551154018 2372353204 2965441505 3102308036 3877885045 5930883010 7755770090 10082501117 11861766020 15511540180 20165002234 40330004468 50412505585 100825011170 201650022340