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23422055203400 = 2352724215676973
BaseRepresentation
bin1010101001101010111110…
…10001111100001001001000
310001221010102022001120101212
411110311133101330021020
511032221332113002100
6121451535453232252
74635121235224400
oct524653721741110
9101833368046355
1023422055203400
117510268606937
122763426a92688
13100b8c8861889
145ad8c2547800
152a93dc3a8635
hex154d5f47c248

23422055203400 has 144 divisors (see below), whose sum is σ = 63497578657140. Its totient is φ = 8011342886400.

The previous prime is 23422055203301. The next prime is 23422055203403. The reversal of 23422055203400 is 430255022432.

It can be written as a sum of positive squares in 6 ways, for example, as 1602487619236 + 21819567584164 = 1265894^2 + 4671142^2 .

It is a super-2 number, since 2×234220552034002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23422055203403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1287314 + ... + 6964286.

Almost surely, 223422055203400 is an apocalyptic number.

23422055203400 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 23422055203400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31748789328570).

23422055203400 is an abundant number, since it is smaller than the sum of its proper divisors (40075523453740).

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

23422055203400 is a wasteful number, since it uses less digits than its factorization.

23422055203400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677424 (or 5677408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 23422055203400 in words is "twenty-three trillion, four hundred twenty-two billion, fifty-five million, two hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 421 490 700 842 980 1225 1400 1684 1960 2105 2450 2947 3368 4210 4900 5894 8420 9800 10525 11788 14735 16840 20629 21050 23576 29470 41258 42100 58940 73675 82516 84200 103145 117880 147350 165032 206290 294700 412580 515725 589400 825160 1031450 2062900 4125800 5676973 11353946 22707892 28384865 39738811 45415784 56769730 79477622 113539460 141924325 158955244 198694055 227078920 278171677 283848650 317910488 397388110 556343354 567697300 794776220 993470275 1112686708 1135394600 1390858385 1589552440 1986940550 2225373416 2390005633 2781716770 3973881100 4780011266 5563433540 6954291925 7947762200 9560022532 11126867080 11950028165 13908583850 16730039431 19120045064 23900056330 27817167700 33460078862 47800112660 55634335400 59750140825 66920157724 83650197155 95600225320 117110276017 119500281650 133840315448 167300394310 234220552034 239000563300 334600788620 418250985775 468441104068 478001126600 585551380085 669201577240 836501971550 936882208136 1171102760170 1673003943100 2342205520340 2927756900425 3346007886200 4684411040680 5855513800850 11711027601700 23422055203400