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22198930632 = 233619512
BaseRepresentation
bin10100101011001010…
…001100110011001000
32010022002012112000000
4110223022030303020
5330430411240012
614110440043000
71414052540244
oct245312146310
963262175000
1022198930632
11946179916a
124376463460
13212a123618
141108365424
1589dd25ddc
hex52b28ccc8

22198930632 has 84 divisors (see below), whose sum is σ = 62437947435. Its totient is φ = 7395850800.

The previous prime is 22198930603. The next prime is 22198930639. The reversal of 22198930632 is 23603989122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22198930632 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 8 + 9 + 3 + 0 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11099465316 + 11099465316 = 105354^2 + 105354^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105354.

It is not an unprimeable number, because it can be changed into a prime (22198930639) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 11377257 + ... + 11379207.

Almost surely, 222198930632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22198930632

22198930632 is an abundant number, since it is smaller than the sum of its proper divisors (40239016803).

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

22198930632 is an frugal number, since it uses more digits than its factorization.

22198930632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 22198930632 in words is "twenty-two billion, one hundred ninety-eight million, nine hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 1951 2916 3902 5832 5853 7804 11706 15608 17559 23412 35118 46824 52677 70236 105354 140472 158031 210708 316062 421416 474093 632124 948186 1264248 1422279 1896372 2844558 3792744 3806401 5689116 7612802 11378232 11419203 15225604 22838406 30451208 34257609 45676812 68515218 91353624 102772827 137030436 205545654 274060872 308318481 411091308 616636962 822182616 924955443 1233273924 1849910886 2466547848 2774866329 3699821772 5549732658 7399643544 11099465316 22198930632