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22156365364100 = 225211101199427231
BaseRepresentation
bin1010000100110101011100…
…10010010111101110000100
32220110010110012022212111022
411002122232102113232010
510401002214013122400
6115042254351330312
74444513250134022
oct502325622275604
986403405285438
1022156365364100
1170725096a6260
12259a075b20998
13c4944aa98796
14568533a17712
1528651069bb85
hex1426ae497b84

22156365364100 has 72 divisors (see below), whose sum is σ = 52969468237056. Its totient is φ = 7977089200000.

The previous prime is 22156365364097. The next prime is 22156365364109. The reversal of 22156365364100 is 146356365122.

It is a super-2 number, since 2×221563653641002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (22156365364109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99602516 + ... + 99824715.

It is an arithmetic number, because the mean of its divisors is an integer number (735687058848).

Almost surely, 222156365364100 is an apocalyptic number.

22156365364100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22156365364100 is an abundant number, since it is smaller than the sum of its proper divisors (30813102872956).

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

22156365364100 is a wasteful number, since it uses less digits than its factorization.

22156365364100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199427357 (or 199427350 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 22156365364100 in words is "twenty-two trillion, one hundred fifty-six billion, three hundred sixty-five million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 199427231 398854462 797708924 997136155 1994272310 2193699541 3988544620 4387399082 4985680775 8774798164 9971361550 10968497705 19942723100 20142150331 21936995410 40284300662 43873990820 54842488525 80568601324 100710751655 109684977050 201421503310 219369954100 221563653641 402843006620 443127307282 503553758275 886254614564 1007107516550 1107818268205 2014215033100 2215636536410 4431273072820 5539091341025 11078182682050 22156365364100