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23422102400 = 275254713381
BaseRepresentation
bin10101110100000100…
…001110101110000000
32020110022211002020002
4111310010032232000
5340432024234100
614432052535132
71456264404554
oct256404165600
966408732202
1023422102400
119a2a191224
1246580214a8
13229366bab8
1411c29a7864
159213dc2d5
hex57410eb80

23422102400 has 96 divisors (see below), whose sum is σ = 57970021080. Its totient is φ = 9351014400.

The previous prime is 23422102397. The next prime is 23422102439. The reversal of 23422102400 is 420122432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1743710 + ... + 1757090.

Almost surely, 223422102400 is an apocalyptic number.

23422102400 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 23422102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28985010540).

23422102400 is an abundant number, since it is smaller than the sum of its proper divisors (34547918680).

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

23422102400 is a wasteful number, since it uses less digits than its factorization.

23422102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13935 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 23422102400 its reverse (420122432), we get a palindrome (23842224832).

The spelling of 23422102400 in words is "twenty-three billion, four hundred twenty-two million, one hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 547 640 800 1094 1600 2188 2735 3200 4376 5470 8752 10940 13381 13675 17504 21880 26762 27350 35008 43760 53524 54700 66905 70016 87520 107048 109400 133810 175040 214096 218800 267620 334525 350080 428192 437600 535240 669050 856384 875200 1070480 1338100 1712768 1750400 2140960 2676200 4281920 5352400 7319407 8563840 10704800 14638814 21409600 29277628 36597035 42819200 58555256 73194070 117110512 146388140 182985175 234221024 292776280 365970350 468442048 585552560 731940700 936884096 1171105120 1463881400 2342210240 2927762800 4684420480 5855525600 11711051200 23422102400