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22320030132 = 223219315319861
BaseRepresentation
bin10100110010011000…
…001010000110110100
32010121112002000021200
4110302120022012310
5331202411431012
614130443412500
71420053061101
oct246230120664
963545060250
1022320030132
119514090aa4
1243aab24130
132149243b2a
14111a489aa8
158a97973dc
hex53260a1b4

22320030132 has 144 divisors (see below), whose sum is σ = 62465195520. Its totient is φ = 6692025600.

The previous prime is 22320030127. The next prime is 22320030197. The reversal of 22320030132 is 23103002322.

It is a happy number.

It is a super-3 number, since 3×223200301323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

22320030132 is a modest number, since divided by 30132 gives 22320 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113882 + ... + 1133742.

It is an arithmetic number, because the mean of its divisors is an integer number (433786080).

Almost surely, 222320030132 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 22320030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31232597760).

22320030132 is an abundant number, since it is smaller than the sum of its proper divisors (40145165388).

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

22320030132 is a wasteful number, since it uses less digits than its factorization.

22320030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19974 (or 19969 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22320030132 its reverse (23103002322), we get a palindrome (45423032454).

The spelling of 22320030132 in words is "twenty-two billion, three hundred twenty million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 53 57 62 76 93 106 114 124 159 171 186 212 228 279 318 342 372 477 558 589 636 684 954 1007 1116 1178 1643 1767 1908 2014 2356 3021 3286 3534 4028 4929 5301 6042 6572 7068 9063 9858 10602 12084 14787 18126 19716 19861 21204 29574 31217 36252 39722 59148 59583 62434 79444 93651 119166 124868 178749 187302 238332 280953 357498 374604 377359 561906 615691 714996 754718 1052633 1123812 1132077 1231382 1509436 1847073 2105266 2264154 2462764 3157899 3396231 3694146 4210532 4528308 5541219 6315798 6792462 7388292 9473697 11082438 11698129 12631596 13584924 18947394 20000027 22164876 23396258 32631623 35094387 37894788 40000054 46792516 60000081 65263246 70188774 80000108 97894869 105283161 120000162 130526492 140377548 180000243 195789738 210566322 240000324 293684607 360000486 391579476 421132644 587369214 620000837 720000972 1174738428 1240001674 1860002511 2480003348 3720005022 5580007533 7440010044 11160015066 22320030132