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23221005156 = 22351031371693
BaseRepresentation
bin10101101000000101…
…000110101101100100
32012221022102021200000
4111220011012231210
5340024034131111
614400110421300
71451303200326
oct255005065544
965838367600
1023221005156
119936719958
124600801830
132260abc24b
1411a3dbb616
1590d917c56
hex568146b64

23221005156 has 144 divisors (see below), whose sum is σ = 61947709824. Its totient is φ = 7604741376.

The previous prime is 23221005103. The next prime is 23221005161. The reversal of 23221005156 is 65150012232.

It is a happy number.

23221005156 is a `hidden beast` number, since 23 + 22 + 100 + 515 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13715046 + ... + 13716738.

Almost surely, 223221005156 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 23221005156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30973854912).

23221005156 is an abundant number, since it is smaller than the sum of its proper divisors (38726704668).

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

23221005156 is a wasteful number, since it uses less digits than its factorization.

23221005156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 23221005156 its reverse (65150012232), we get a palindrome (88371017388).

The spelling of 23221005156 in words is "twenty-three billion, two hundred twenty-one million, five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 137 162 206 243 274 309 324 411 412 486 548 618 822 927 972 1233 1236 1644 1693 1854 2466 2781 3386 3699 3708 4932 5079 5562 6772 7398 8343 10158 11097 11124 14111 14796 15237 16686 20316 22194 25029 28222 30474 33291 33372 42333 44388 45711 50058 56444 60948 66582 84666 91422 100116 126999 133164 137133 169332 174379 182844 231941 253998 274266 348758 380997 411399 463882 507996 523137 548532 695823 697516 761994 822798 927764 1046274 1142991 1391646 1523988 1569411 1645596 2087469 2092548 2285982 2783292 3138822 3428973 4174938 4571964 4708233 6262407 6277644 6857946 8349876 9416466 12524814 13715892 14124699 18787221 18832932 23889923 25049628 28249398 37574442 42374097 47779846 56361663 56498796 71669769 75148884 84748194 95559692 112723326 143339538 169496388 215009307 225446652 286679076 430018614 645027921 860037228 1290055842 1935083763 2580111684 3870167526 5805251289 7740335052 11610502578 23221005156