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4222216613340 = 22325113476145339
BaseRepresentation
bin111101011100001111101…
…110001010110111011100
3112221122021112110021112200
4331130033232022313130
51023134044423111330
612551354243131500
7614021315025435
oct75341756126734
915848245407480
104222216613340
1113886a5229240
12582363973b90
132481cbabc95b
141084dbc6a48c
1574c69a99a60
hex3d70fb8addc

4222216613340 has 144 divisors (see below), whose sum is σ = 14011965152640. Its totient is φ = 1020617735040.

The previous prime is 4222216613291. The next prime is 4222216613347. The reversal of 4222216613340 is 433166122224.

4222216613340 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 1 + 6 + 613 + 34 + 0 = 666.

It is a super-2 number, since 2×42222166133402 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4222216613295 and 4222216613304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222216613347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385610 + ... + 3759729.

It is an arithmetic number, because the mean of its divisors is an integer number (97305313560).

Almost surely, 24222216613340 is an apocalyptic number.

It is an amenable number.

4222216613340 is an abundant number, since it is smaller than the sum of its proper divisors (9789748539300).

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

4222216613340 is a wasteful number, since it uses less digits than its factorization.

4222216613340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145712 (or 6145707 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4222216613340 in words is "four trillion, two hundred twenty-two billion, two hundred sixteen million, six hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 347 396 495 660 694 990 1041 1388 1735 1980 2082 3123 3470 3817 4164 5205 6246 6940 7634 10410 11451 12492 15268 15615 19085 20820 22902 31230 34353 38170 45804 57255 62460 68706 76340 114510 137412 171765 229020 343530 687060 6145339 12290678 18436017 24581356 30726695 36872034 55308051 61453390 67598729 73744068 92180085 110616102 122906780 135197458 184360170 202796187 221232204 270394916 276540255 337993645 368720340 405592374 553080510 608388561 675987290 811184748 1013980935 1106161020 1216777122 1351974580 2027961870 2132432633 2433554244 3041942805 4055923740 4264865266 6083885610 6397297899 8529730532 10662163165 12167771220 12794595798 19191893697 21324326330 23456758963 25589191596 31986489495 38383787394 42648652660 46913517926 63972978990 70370276889 76767574788 93827035852 95959468485 117283794815 127945957980 140740553778 191918936970 211110830667 234567589630 281481107556 351851384445 383837873940 422221661334 469135179260 703702768890 844443322668 1055554153335 1407405537780 2111108306670 4222216613340