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2059222572 = 22321124121577
BaseRepresentation
bin111101010111101…
…0011111000101100
312022111210100022200
41322233103320230
513204130110242
6540200141500
7102013050231
oct17257237054
95274710280
102059222572
11967417440
12495767890
1326a8114c4
141576b3788
15c0bb004c
hex7abd3e2c

2059222572 has 72 divisors (see below), whose sum is σ = 5702288592. Its totient is φ = 621388800.

The previous prime is 2059222559. The next prime is 2059222579. The reversal of 2059222572 is 2752229502.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2059222579) 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 23 ways as a sum of consecutive naturals, for example, 84648 + ... + 106224.

Almost surely, 22059222572 is an apocalyptic number.

2059222572 is a gapful number since it is divisible by the number (22) 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 2059222572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851144296).

2059222572 is an abundant number, since it is smaller than the sum of its proper divisors (3643066020).

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

2059222572 is a wasteful number, since it uses less digits than its factorization.

2059222572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21839 (or 21834 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2059222572 is about 45378.6576707597. The cubic root of 2059222572 is about 1272.2362427592.

The spelling of 2059222572 in words is "two billion, fifty-nine million, two hundred twenty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 241 396 482 723 964 1446 2169 2651 2892 4338 5302 7953 8676 10604 15906 21577 23859 31812 43154 47718 64731 86308 95436 129462 194193 237347 258924 388386 474694 712041 776772 949388 1424082 2136123 2848164 4272246 5200057 8544492 10400114 15600171 20800228 31200342 46800513 57200627 62400684 93601026 114401254 171601881 187202052 228802508 343203762 514805643 686407524 1029611286 2059222572