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2212148952 = 2332136773491
BaseRepresentation
bin1000001111011010…
…1011011011011000
312201011112210212200
42003312223123120
514012302231302
61003302010200
7105550645566
oct20366533330
95634483780
102212148952
11a35778282
12518a16960
132933c63a0
1416db20a36
15ce31b81c
hex83dab6d8

2212148952 has 96 divisors (see below), whose sum is σ = 6463482480. Its totient is φ = 679461120.

The previous prime is 2212148921. The next prime is 2212148959. The reversal of 2212148952 is 2598412122.

2212148952 is a `hidden beast` number, since 2 + 2 + 121 + 489 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212148959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631927 + ... + 635417.

Almost surely, 22212148952 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 2212148952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231741240).

2212148952 is an abundant number, since it is smaller than the sum of its proper divisors (4251333528).

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

2212148952 is a wasteful number, since it uses less digits than its factorization.

2212148952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4186 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 2212148952 is about 47033.4875593975. The cubic root of 2212148952 is about 1302.9811175474.

The spelling of 2212148952 in words is "two billion, two hundred twelve million, one hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 677 936 1354 2031 2708 3491 4062 5416 6093 6982 8124 8801 10473 12186 13964 16248 17602 20946 24372 26403 27928 31419 35204 41892 45383 48744 52806 62838 70408 79209 83784 90766 105612 125676 136149 158418 181532 211224 251352 272298 316836 363064 408447 544596 633672 816894 1089192 1633788 2363407 3267576 4726814 7090221 9453628 14180442 18907256 21270663 28360884 30724291 42541326 56721768 61448582 85082652 92172873 122897164 170165304 184345746 245794328 276518619 368691492 553037238 737382984 1106074476 2212148952