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2412551220 = 2235196134693
BaseRepresentation
bin1000111111001100…
…1001110000110100
320020010122022002220
42033303021300310
514420103114340
61035221202340
7113533230012
oct21763116064
96203568086
102412551220
111028905492
12573b603b0
132c5a91801
1418c5a98b2
15e1c04ed0
hex8fcc9c34

2412551220 has 96 divisors (see below), whose sum is σ = 7227454080. Its totient is φ = 599477760.

The previous prime is 2412551179. The next prime is 2412551221. The reversal of 2412551220 is 221552142.

2412551220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2412551221) 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, 52194 + ... + 86886.

It is an arithmetic number, because the mean of its divisors is an integer number (75285980).

Almost surely, 22412551220 is an apocalyptic number.

2412551220 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 2412551220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613727040).

2412551220 is an abundant number, since it is smaller than the sum of its proper divisors (4814902860).

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

2412551220 is a wasteful number, since it uses less digits than its factorization.

2412551220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34785 (or 34783 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2412551220 is about 49117.7281640753. The cubic root of 2412551220 is about 1341.1957878625.

The spelling of 2412551220 in words is "two billion, four hundred twelve million, five hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1830 2318 3477 3660 4636 5795 6954 11590 13908 17385 23180 34693 34770 69386 69540 104079 138772 173465 208158 346930 416316 520395 659167 693860 1040790 1318334 1977501 2081580 2116273 2636668 3295835 3955002 4232546 6348819 6591670 7910004 8465092 9887505 10581365 12697638 13183340 19775010 21162730 25395276 31744095 39550020 40209187 42325460 63488190 80418374 120627561 126976380 160836748 201045935 241255122 402091870 482510244 603137805 804183740 1206275610 2412551220