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122222246900 = 22521394017113
BaseRepresentation
bin111000111010100000…
…0110111101111110100
3102200110212201110011012
41301311000313233310
54000302343400100
6132051554531352
711554531646225
oct1616500675764
9380425643135
10122222246900
114791a2aa106
121b82bb96b58
13b6aa707a70
145cb653524c
1532a5119135
hex1c75037bf4

122222246900 has 36 divisors (see below), whose sum is σ = 285623992332. Its totient is φ = 45128213760.

The previous prime is 122222246899. The next prime is 122222246921. The reversal of 122222246900 is 9642222221.

It can be written as a sum of positive squares in 6 ways, for example, as 13093767184 + 109128479716 = 114428^2 + 330346^2 .

It is a super-2 number, since 2×1222222469002 (a number of 23 digits) contains 22 as substring.

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, 47007257 + ... + 47009856.

It is an arithmetic number, because the mean of its divisors is an integer number (7933999787).

Almost surely, 2122222246900 is an apocalyptic number.

122222246900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122222246900 is an abundant number, since it is smaller than the sum of its proper divisors (163401745432).

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

122222246900 is a wasteful number, since it uses less digits than its factorization.

122222246900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94017140 (or 94017133 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 122222246900 in words is "one hundred twenty-two billion, two hundred twenty-two million, two hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 94017113 188034226 376068452 470085565 940171130 1222222469 1880342260 2350427825 2444444938 4700855650 4888889876 6111112345 9401711300 12222224690 24444449380 30555561725 61111123450 122222246900