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4222609920 = 2933561091
BaseRepresentation
bin1111101110101111…
…1110101000000000
3101220021120210212000
43323223332220000
532121442004140
61535001104000
7206432410044
oct37353765000
911807523760
104222609920
11187760a371
1299a188000
13523a94069
142c0b40024
1519aa98a30
hexfbafea00

4222609920 has 160 divisors (see below), whose sum is σ = 14999307840. Its totient is φ = 1126010880.

The previous prime is 4222609907. The next prime is 4222609921. The reversal of 4222609920 is 299062224.

It is a happy number.

4222609920 is a `hidden beast` number, since 4 + 2 + 22 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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 (4222609921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38575 + ... + 99665.

It is an arithmetic number, because the mean of its divisors is an integer number (93745674).

Almost surely, 24222609920 is an apocalyptic number.

4222609920 is a gapful number since it is divisible by the number (40) 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 4222609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499653920).

4222609920 is an abundant number, since it is smaller than the sum of its proper divisors (10776697920).

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

4222609920 is an equidigital number, since it uses as much as digits as its factorization.

4222609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61123 (or 61101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4222609920 is about 64981.6121683665. The cubic root of 4222609920 is about 1616.3186640797.

The spelling of 4222609920 in words is "four billion, two hundred twenty-two million, six hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 61091 69120 122182 183273 244364 305455 366546 488728 549819 610910 733092 916365 977456 1099638 1221820 1466184 1649457 1832730 1954912 2199276 2443640 2749095 2932368 3298914 3665460 3909824 4398552 4887280 5498190 5864736 6597828 7330920 7819648 8247285 8797104 9774560 10996380 11729472 13195656 14661840 15639296 16494570 17594208 19549120 21992760 23458944 26391312 29323680 31278592 32989140 35188416 39098240 43985520 46917888 52782624 58647360 65978280 70376832 78196480 87971040 93835776 105565248 117294720 131956560 140753664 156392960 175942080 211130496 234589440 263913120 281507328 351884160 422260992 469178880 527826240 703768320 844521984 1055652480 1407536640 2111304960 4222609920