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4051132220 = 2253767101809
BaseRepresentation
bin1111000101110111…
…0101111100111100
3101110022220211200002
43301131311330330
531244042212340
61505553453432
7202251025052
oct36135657474
911408824602
104051132220
111799838663
12950871278
134c73b5275
142a60641d2
1518a9c5715
hexf1775f3c

4051132220 has 96 divisors (see below), whose sum is σ = 8966583360. Its totient is φ = 1535846400.

The previous prime is 4051132207. The next prime is 4051132247. The reversal of 4051132220 is 222311504.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4051132192 and 4051132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5007176 + ... + 5007984.

It is an arithmetic number, because the mean of its divisors is an integer number (93401910).

Almost surely, 24051132220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4051132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483291680).

4051132220 is an abundant number, since it is smaller than the sum of its proper divisors (4915451140).

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

4051132220 is a wasteful number, since it uses less digits than its factorization.

4051132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4051132220 is about 63648.5052456065. The cubic root of 4051132220 is about 1594.1363786114.

Adding to 4051132220 its reverse (222311504), we get a palindrome (4273443724).

The spelling of 4051132220 in words is "four billion, fifty-one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 67 74 101 134 148 185 202 268 335 370 404 505 670 740 809 1010 1340 1618 2020 2479 3236 3737 4045 4958 6767 7474 8090 9916 12395 13534 14948 16180 18685 24790 27068 29933 33835 37370 49580 54203 59866 67670 74740 81709 108406 119732 135340 149665 163418 216812 250379 271015 299330 326836 408545 500758 542030 598660 817090 1001516 1084060 1251895 1634180 2005511 2503790 3023233 4011022 5007580 5474503 6046466 8022044 10027555 10949006 12092932 15116165 20055110 21898012 27372515 30232330 40110220 54745030 60464660 109490060 202556611 405113222 810226444 1012783055 2025566110 4051132220